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Finding the Fourth Proportional to 5,491.68, 8,237.52 and 1,543.29

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Solution

The fourth proportional to 5,491.68, 8,237.52 and 1,543.29 is: 2,314.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491.68 : 8,237.52 = 1,543.29 : x
  2. Step 2: Convert to fraction form
    5,491.68/8,237.52 = 1,543.29/x
  3. Step 3: Cross multiply
    5,491.68x = 8,237.52 × 1,543.29
  4. Step 4: Simplify right side
    5,491.68x = 12,712,882.24
  5. Step 5: Solve for x
    x = 12,712,882.24/5,491.68
  6. Step 6: Final answer
    x = 2,314.94

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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.