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Finding the Fourth Proportional to 3,711.47, 5,567.20 and 1,491.32

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Solution

The fourth proportional to 3,711.47, 5,567.20 and 1,491.32 is: 2,236.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.47 : 5,567.20 = 1,491.32 : x
  2. Step 2: Convert to fraction form
    3,711.47/5,567.20 = 1,491.32/x
  3. Step 3: Cross multiply
    3,711.47x = 5,567.20 × 1,491.32
  4. Step 4: Simplify right side
    3,711.47x = 8,302,445.14
  5. Step 5: Solve for x
    x = 8,302,445.14/3,711.47
  6. Step 6: Final answer
    x = 2,236.97

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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.