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Finding the Fourth Proportional to 5,863.68, 8,787.86 and 4,471.92

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Solution

The fourth proportional to 5,863.68, 8,787.86 and 4,471.92 is: 6,702.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863.68 : 8,787.86 = 4,471.92 : x
  2. Step 2: Convert to fraction form
    5,863.68/8,787.86 = 4,471.92/x
  3. Step 3: Cross multiply
    5,863.68x = 8,787.86 × 4,471.92
  4. Step 4: Simplify right side
    5,863.68x = 39,298,606.89
  5. Step 5: Solve for x
    x = 39,298,606.89/5,863.68
  6. Step 6: Final answer
    x = 6,702.04

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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.