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Finding the Fourth Proportional to 4,531.86, 6,254.21 and 2,542.70

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Solution

The fourth proportional to 4,531.86, 6,254.21 and 2,542.70 is: 3,509.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,531.86 : 6,254.21 = 2,542.70 : x
  2. Step 2: Convert to fraction form
    4,531.86/6,254.21 = 2,542.70/x
  3. Step 3: Cross multiply
    4,531.86x = 6,254.21 × 2,542.70
  4. Step 4: Simplify right side
    4,531.86x = 15,902,584.17
  5. Step 5: Solve for x
    x = 15,902,584.17/4,531.86
  6. Step 6: Final answer
    x = 3,509.07

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