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Finding the Fourth Proportional to 3,871.85, 5,806.53 and 2,092.59

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Solution

The fourth proportional to 3,871.85, 5,806.53 and 2,092.59 is: 3,138.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.85 : 5,806.53 = 2,092.59 : x
  2. Step 2: Convert to fraction form
    3,871.85/5,806.53 = 2,092.59/x
  3. Step 3: Cross multiply
    3,871.85x = 5,806.53 × 2,092.59
  4. Step 4: Simplify right side
    3,871.85x = 12,150,686.61
  5. Step 5: Solve for x
    x = 12,150,686.61/3,871.85
  6. Step 6: Final answer
    x = 3,138.22

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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.