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Finding the Fourth Proportional to 6,582.38, 9,083.68 and 3,787.88

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Solution

The fourth proportional to 6,582.38, 9,083.68 and 3,787.88 is: 5,227.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,582.38 : 9,083.68 = 3,787.88 : x
  2. Step 2: Convert to fraction form
    6,582.38/9,083.68 = 3,787.88/x
  3. Step 3: Cross multiply
    6,582.38x = 9,083.68 × 3,787.88
  4. Step 4: Simplify right side
    6,582.38x = 34,407,889.80
  5. Step 5: Solve for x
    x = 34,407,889.80/6,582.38
  6. Step 6: Final answer
    x = 5,227.27

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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.