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Finding the Fourth Proportional to 3,734.55, 5,601.82 and 1,540.87

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Solution

The fourth proportional to 3,734.55, 5,601.82 and 1,540.87 is: 2,311.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.55 : 5,601.82 = 1,540.87 : x
  2. Step 2: Convert to fraction form
    3,734.55/5,601.82 = 1,540.87/x
  3. Step 3: Cross multiply
    3,734.55x = 5,601.82 × 1,540.87
  4. Step 4: Simplify right side
    3,734.55x = 8,631,676.38
  5. Step 5: Solve for x
    x = 8,631,676.38/3,734.55
  6. Step 6: Final answer
    x = 2,311.30

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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.