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Finding the Fourth Proportional to 5,787.98, 8,695.82 and 3,712.05

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Solution

The fourth proportional to 5,787.98, 8,695.82 and 3,712.05 is: 5,576.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.98 : 8,695.82 = 3,712.05 : x
  2. Step 2: Convert to fraction form
    5,787.98/8,695.82 = 3,712.05/x
  3. Step 3: Cross multiply
    5,787.98x = 8,695.82 × 3,712.05
  4. Step 4: Simplify right side
    5,787.98x = 32,279,318.63
  5. Step 5: Solve for x
    x = 32,279,318.63/5,787.98
  6. Step 6: Final answer
    x = 5,576.96

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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.