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Finding the Fourth Proportional to 4,102.47, 5,661.41 and 2,531.47

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Solution

The fourth proportional to 4,102.47, 5,661.41 and 2,531.47 is: 3,493.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.47 : 5,661.41 = 2,531.47 : x
  2. Step 2: Convert to fraction form
    4,102.47/5,661.41 = 2,531.47/x
  3. Step 3: Cross multiply
    4,102.47x = 5,661.41 × 2,531.47
  4. Step 4: Simplify right side
    4,102.47x = 14,331,689.57
  5. Step 5: Solve for x
    x = 14,331,689.57/4,102.47
  6. Step 6: Final answer
    x = 3,493.43

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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.