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Finding the Fourth Proportional to 3,489.60, 5,237.04 and 1,543.04

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Solution

The fourth proportional to 3,489.60, 5,237.04 and 1,543.04 is: 2,315.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.60 : 5,237.04 = 1,543.04 : x
  2. Step 2: Convert to fraction form
    3,489.60/5,237.04 = 1,543.04/x
  3. Step 3: Cross multiply
    3,489.60x = 5,237.04 × 1,543.04
  4. Step 4: Simplify right side
    3,489.60x = 8,080,962.20
  5. Step 5: Solve for x
    x = 8,080,962.20/3,489.60
  6. Step 6: Final answer
    x = 2,315.73

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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.