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Finding the Fourth Proportional to 4,140.57, 5,714.10 and 2,462.88

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Solution

The fourth proportional to 4,140.57, 5,714.10 and 2,462.88 is: 3,398.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140.57 : 5,714.10 = 2,462.88 : x
  2. Step 2: Convert to fraction form
    4,140.57/5,714.10 = 2,462.88/x
  3. Step 3: Cross multiply
    4,140.57x = 5,714.10 × 2,462.88
  4. Step 4: Simplify right side
    4,140.57x = 14,073,142.61
  5. Step 5: Solve for x
    x = 14,073,142.61/4,140.57
  6. Step 6: Final answer
    x = 3,398.84

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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.