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Finding the Fourth Proportional to 4,092.65, 6,138.99 and 2,714.74

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Solution

The fourth proportional to 4,092.65, 6,138.99 and 2,714.74 is: 4,072.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092.65 : 6,138.99 = 2,714.74 : x
  2. Step 2: Convert to fraction form
    4,092.65/6,138.99 = 2,714.74/x
  3. Step 3: Cross multiply
    4,092.65x = 6,138.99 × 2,714.74
  4. Step 4: Simplify right side
    4,092.65x = 16,665,761.71
  5. Step 5: Solve for x
    x = 16,665,761.71/4,092.65
  6. Step 6: Final answer
    x = 4,072.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.