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Finding the Fourth Proportional to 5,787.30, 8,630.13 and 5,734.68

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Solution

The fourth proportional to 5,787.30, 8,630.13 and 5,734.68 is: 8,551.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.30 : 8,630.13 = 5,734.68 : x
  2. Step 2: Convert to fraction form
    5,787.30/8,630.13 = 5,734.68/x
  3. Step 3: Cross multiply
    5,787.30x = 8,630.13 × 5,734.68
  4. Step 4: Simplify right side
    5,787.30x = 49,491,033.91
  5. Step 5: Solve for x
    x = 49,491,033.91/5,787.30
  6. Step 6: Final answer
    x = 8,551.66

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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.