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Finding the Fourth Proportional to 3,472.92, 5,208.90 and 875.70

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Solution

The fourth proportional to 3,472.92, 5,208.90 and 875.70 is: 1,313.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.92 : 5,208.90 = 875.70 : x
  2. Step 2: Convert to fraction form
    3,472.92/5,208.90 = 875.70/x
  3. Step 3: Cross multiply
    3,472.92x = 5,208.90 × 875.70
  4. Step 4: Simplify right side
    3,472.92x = 4,561,433.73
  5. Step 5: Solve for x
    x = 4,561,433.73/3,472.92
  6. Step 6: Final answer
    x = 1,313.43

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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.