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Finding the Fourth Proportional to 3,431.39, 5,147.07 and 834.33

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Solution

The fourth proportional to 3,431.39, 5,147.07 and 834.33 is: 1,251.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.39 : 5,147.07 = 834.33 : x
  2. Step 2: Convert to fraction form
    3,431.39/5,147.07 = 834.33/x
  3. Step 3: Cross multiply
    3,431.39x = 5,147.07 × 834.33
  4. Step 4: Simplify right side
    3,431.39x = 4,294,354.91
  5. Step 5: Solve for x
    x = 4,294,354.91/3,431.39
  6. Step 6: Final answer
    x = 1,251.49

Related Problems

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Half scale
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Double scale
Find fourth proportional to 3,432.39, 5,148.57 and 835.33
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.