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Finding the Fourth Proportional to 4,147.38, 5,723.38 and 2,284.38

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Solution

The fourth proportional to 4,147.38, 5,723.38 and 2,284.38 is: 3,152.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.38 : 5,723.38 = 2,284.38 : x
  2. Step 2: Convert to fraction form
    4,147.38/5,723.38 = 2,284.38/x
  3. Step 3: Cross multiply
    4,147.38x = 5,723.38 × 2,284.38
  4. Step 4: Simplify right side
    4,147.38x = 13,074,374.80
  5. Step 5: Solve for x
    x = 13,074,374.80/4,147.38
  6. Step 6: Final answer
    x = 3,152.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.