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Finding the Fourth Proportional to 5,787.92, 8,646.68 and 3,691.24

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Solution

The fourth proportional to 5,787.92, 8,646.68 and 3,691.24 is: 5,514.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.92 : 8,646.68 = 3,691.24 : x
  2. Step 2: Convert to fraction form
    5,787.92/8,646.68 = 3,691.24/x
  3. Step 3: Cross multiply
    5,787.92x = 8,646.68 × 3,691.24
  4. Step 4: Simplify right side
    5,787.92x = 31,916,958.69
  5. Step 5: Solve for x
    x = 31,916,958.69/5,787.92
  6. Step 6: Final answer
    x = 5,514.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.