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Finding the Fourth Proportional to 5,491.52, 8,237.68 and 1,543.36

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Solution

The fourth proportional to 5,491.52, 8,237.68 and 1,543.36 is: 2,315.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491.52 : 8,237.68 = 1,543.36 : x
  2. Step 2: Convert to fraction form
    5,491.52/8,237.68 = 1,543.36/x
  3. Step 3: Cross multiply
    5,491.52x = 8,237.68 × 1,543.36
  4. Step 4: Simplify right side
    5,491.52x = 12,713,705.80
  5. Step 5: Solve for x
    x = 12,713,705.80/5,491.52
  6. Step 6: Final answer
    x = 2,315.15

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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.