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Finding the Fourth Proportional to 3,443.39, 5,165.09 and 846.33

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Solution

The fourth proportional to 3,443.39, 5,165.09 and 846.33 is: 1,269.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.39 : 5,165.09 = 846.33 : x
  2. Step 2: Convert to fraction form
    3,443.39/5,165.09 = 846.33/x
  3. Step 3: Cross multiply
    3,443.39x = 5,165.09 × 846.33
  4. Step 4: Simplify right side
    3,443.39x = 4,371,370.62
  5. Step 5: Solve for x
    x = 4,371,370.62/3,443.39
  6. Step 6: Final answer
    x = 1,269.50

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Half scale
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Double scale
Find fourth proportional to 3,444.39, 5,166.59 and 847.33
Similar ratio
Find fourth proportional to 5,165.09, 7,747.64 and 1,269.50
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.