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Finding the Fourth Proportional to 3,057.14, 4,585.96 and 865.88

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Solution

The fourth proportional to 3,057.14, 4,585.96 and 865.88 is: 1,298.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.14 : 4,585.96 = 865.88 : x
  2. Step 2: Convert to fraction form
    3,057.14/4,585.96 = 865.88/x
  3. Step 3: Cross multiply
    3,057.14x = 4,585.96 × 865.88
  4. Step 4: Simplify right side
    3,057.14x = 3,970,891.04
  5. Step 5: Solve for x
    x = 3,970,891.04/3,057.14
  6. Step 6: Final answer
    x = 1,298.89

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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.