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Finding the Fourth Proportional to 3,542.69, 5,312.07 and 1,432.41

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Solution

The fourth proportional to 3,542.69, 5,312.07 and 1,432.41 is: 2,147.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.69 : 5,312.07 = 1,432.41 : x
  2. Step 2: Convert to fraction form
    3,542.69/5,312.07 = 1,432.41/x
  3. Step 3: Cross multiply
    3,542.69x = 5,312.07 × 1,432.41
  4. Step 4: Simplify right side
    3,542.69x = 7,609,062.19
  5. Step 5: Solve for x
    x = 7,609,062.19/3,542.69
  6. Step 6: Final answer
    x = 2,147.82

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