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Finding the Fourth Proportional to 3,876.78, 5,787.05 and 3,587.68

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Solution

The fourth proportional to 3,876.78, 5,787.05 and 3,587.68 is: 5,355.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.78 : 5,787.05 = 3,587.68 : x
  2. Step 2: Convert to fraction form
    3,876.78/5,787.05 = 3,587.68/x
  3. Step 3: Cross multiply
    3,876.78x = 5,787.05 × 3,587.68
  4. Step 4: Simplify right side
    3,876.78x = 20,762,083.54
  5. Step 5: Solve for x
    x = 20,762,083.54/3,876.78
  6. Step 6: Final answer
    x = 5,355.50

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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.