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Finding the Fourth Proportional to 3,787.22, 5,679.11 and 1,594.76

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Solution

The fourth proportional to 3,787.22, 5,679.11 and 1,594.76 is: 2,391.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.22 : 5,679.11 = 1,594.76 : x
  2. Step 2: Convert to fraction form
    3,787.22/5,679.11 = 1,594.76/x
  3. Step 3: Cross multiply
    3,787.22x = 5,679.11 × 1,594.76
  4. Step 4: Simplify right side
    3,787.22x = 9,056,793.05
  5. Step 5: Solve for x
    x = 9,056,793.05/3,787.22
  6. Step 6: Final answer
    x = 2,391.41

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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.