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Finding the Fourth Proportional to 6,472.82, 8,932.26 and 3,639.98

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Solution

The fourth proportional to 6,472.82, 8,932.26 and 3,639.98 is: 5,023.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.82 : 8,932.26 = 3,639.98 : x
  2. Step 2: Convert to fraction form
    6,472.82/8,932.26 = 3,639.98/x
  3. Step 3: Cross multiply
    6,472.82x = 8,932.26 × 3,639.98
  4. Step 4: Simplify right side
    6,472.82x = 32,513,247.75
  5. Step 5: Solve for x
    x = 32,513,247.75/6,472.82
  6. Step 6: Final answer
    x = 5,023.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.