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Finding the Fourth Proportional to 4,147.89, 5,721.57 and 2,468.18

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Solution

The fourth proportional to 4,147.89, 5,721.57 and 2,468.18 is: 3,404.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.89 : 5,721.57 = 2,468.18 : x
  2. Step 2: Convert to fraction form
    4,147.89/5,721.57 = 2,468.18/x
  3. Step 3: Cross multiply
    4,147.89x = 5,721.57 × 2,468.18
  4. Step 4: Simplify right side
    4,147.89x = 14,121,836.03
  5. Step 5: Solve for x
    x = 14,121,836.03/4,147.89
  6. Step 6: Final answer
    x = 3,404.58

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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.