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Finding the Fourth Proportional to 3,472.43, 5,208.87 and 1,282.70

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Solution

The fourth proportional to 3,472.43, 5,208.87 and 1,282.70 is: 1,924.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.43 : 5,208.87 = 1,282.70 : x
  2. Step 2: Convert to fraction form
    3,472.43/5,208.87 = 1,282.70/x
  3. Step 3: Cross multiply
    3,472.43x = 5,208.87 × 1,282.70
  4. Step 4: Simplify right side
    3,472.43x = 6,681,391.50
  5. Step 5: Solve for x
    x = 6,681,391.50/3,472.43
  6. Step 6: Final answer
    x = 1,924.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.