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Finding the Fourth Proportional to 3,487.47, 5,232.12 and 1,296.21

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Solution

The fourth proportional to 3,487.47, 5,232.12 and 1,296.21 is: 1,944.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.47 : 5,232.12 = 1,296.21 : x
  2. Step 2: Convert to fraction form
    3,487.47/5,232.12 = 1,296.21/x
  3. Step 3: Cross multiply
    3,487.47x = 5,232.12 × 1,296.21
  4. Step 4: Simplify right side
    3,487.47x = 6,781,926.27
  5. Step 5: Solve for x
    x = 6,781,926.27/3,487.47
  6. Step 6: Final answer
    x = 1,944.66

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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.