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Finding the Fourth Proportional to 5,034.54, 7,540.86 and 2,432

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Solution

The fourth proportional to 5,034.54, 7,540.86 and 2,432 is: 3,642.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.54 : 7,540.86 = 2,432 : x
  2. Step 2: Convert to fraction form
    5,034.54/7,540.86 = 2,432/x
  3. Step 3: Cross multiply
    5,034.54x = 7,540.86 × 2,432
  4. Step 4: Simplify right side
    5,034.54x = 18,339,371.52
  5. Step 5: Solve for x
    x = 18,339,371.52/5,034.54
  6. Step 6: Final answer
    x = 3,642.71

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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.