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Finding the Fourth Proportional to 3,487.47, 5,229.48 and 1,266.22

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Solution

The fourth proportional to 3,487.47, 5,229.48 and 1,266.22 is: 1,898.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.47 : 5,229.48 = 1,266.22 : x
  2. Step 2: Convert to fraction form
    3,487.47/5,229.48 = 1,266.22/x
  3. Step 3: Cross multiply
    3,487.47x = 5,229.48 × 1,266.22
  4. Step 4: Simplify right side
    3,487.47x = 6,621,646.91
  5. Step 5: Solve for x
    x = 6,621,646.91/3,487.47
  6. Step 6: Final answer
    x = 1,898.70

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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.