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Finding the Fourth Proportional to 3,177.74, 4,753.64 and 2,562.14

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Solution

The fourth proportional to 3,177.74, 4,753.64 and 2,562.14 is: 3,832.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.74 : 4,753.64 = 2,562.14 : x
  2. Step 2: Convert to fraction form
    3,177.74/4,753.64 = 2,562.14/x
  3. Step 3: Cross multiply
    3,177.74x = 4,753.64 × 2,562.14
  4. Step 4: Simplify right side
    3,177.74x = 12,179,491.19
  5. Step 5: Solve for x
    x = 12,179,491.19/3,177.74
  6. Step 6: Final answer
    x = 3,832.75

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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.