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Finding the Fourth Proportional to 3,142.32, 4,711.32 and 2,567.76

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Solution

The fourth proportional to 3,142.32, 4,711.32 and 2,567.76 is: 3,849.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.32 : 4,711.32 = 2,567.76 : x
  2. Step 2: Convert to fraction form
    3,142.32/4,711.32 = 2,567.76/x
  3. Step 3: Cross multiply
    3,142.32x = 4,711.32 × 2,567.76
  4. Step 4: Simplify right side
    3,142.32x = 12,097,539.04
  5. Step 5: Solve for x
    x = 12,097,539.04/3,142.32
  6. Step 6: Final answer
    x = 3,849.87

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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.