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Finding the Fourth Proportional to 3,905.87, 5,859.11 and 1,132.58

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Solution

The fourth proportional to 3,905.87, 5,859.11 and 1,132.58 is: 1,698.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.87 : 5,859.11 = 1,132.58 : x
  2. Step 2: Convert to fraction form
    3,905.87/5,859.11 = 1,132.58/x
  3. Step 3: Cross multiply
    3,905.87x = 5,859.11 × 1,132.58
  4. Step 4: Simplify right side
    3,905.87x = 6,635,910.80
  5. Step 5: Solve for x
    x = 6,635,910.80/3,905.87
  6. Step 6: Final answer
    x = 1,698.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.