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Finding the Fourth Proportional to 3,496.62, 5,244.92 and 1,275.61

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Solution

The fourth proportional to 3,496.62, 5,244.92 and 1,275.61 is: 1,913.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.62 : 5,244.92 = 1,275.61 : x
  2. Step 2: Convert to fraction form
    3,496.62/5,244.92 = 1,275.61/x
  3. Step 3: Cross multiply
    3,496.62x = 5,244.92 × 1,275.61
  4. Step 4: Simplify right side
    3,496.62x = 6,690,472.40
  5. Step 5: Solve for x
    x = 6,690,472.40/3,496.62
  6. Step 6: Final answer
    x = 1,913.41

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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.