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Finding the Fourth Proportional to 4,142.66, 5,718.24 and 2,654.55

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Solution

The fourth proportional to 4,142.66, 5,718.24 and 2,654.55 is: 3,664.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.66 : 5,718.24 = 2,654.55 : x
  2. Step 2: Convert to fraction form
    4,142.66/5,718.24 = 2,654.55/x
  3. Step 3: Cross multiply
    4,142.66x = 5,718.24 × 2,654.55
  4. Step 4: Simplify right side
    4,142.66x = 15,179,353.99
  5. Step 5: Solve for x
    x = 15,179,353.99/4,142.66
  6. Step 6: Final answer
    x = 3,664.16

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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.