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Finding the Fourth Proportional to 6,502.91, 8,974.32 and 3,671.42

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Solution

The fourth proportional to 6,502.91, 8,974.32 and 3,671.42 is: 5,066.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.91 : 8,974.32 = 3,671.42 : x
  2. Step 2: Convert to fraction form
    6,502.91/8,974.32 = 3,671.42/x
  3. Step 3: Cross multiply
    6,502.91x = 8,974.32 × 3,671.42
  4. Step 4: Simplify right side
    6,502.91x = 32,948,497.93
  5. Step 5: Solve for x
    x = 32,948,497.93/6,502.91
  6. Step 6: Final answer
    x = 5,066.73

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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.