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Finding the Fourth Proportional to 3,487.17, 5,229.95 and 1,296.93

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Solution

The fourth proportional to 3,487.17, 5,229.95 and 1,296.93 is: 1,945.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.17 : 5,229.95 = 1,296.93 : x
  2. Step 2: Convert to fraction form
    3,487.17/5,229.95 = 1,296.93/x
  3. Step 3: Cross multiply
    3,487.17x = 5,229.95 × 1,296.93
  4. Step 4: Simplify right side
    3,487.17x = 6,782,872.57
  5. Step 5: Solve for x
    x = 6,782,872.57/3,487.17
  6. Step 6: Final answer
    x = 1,945.09

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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.