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Finding the Fourth Proportional to 3,771.16, 5,652.08 and 2,734.72

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Solution

The fourth proportional to 3,771.16, 5,652.08 and 2,734.72 is: 4,098.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.16 : 5,652.08 = 2,734.72 : x
  2. Step 2: Convert to fraction form
    3,771.16/5,652.08 = 2,734.72/x
  3. Step 3: Cross multiply
    3,771.16x = 5,652.08 × 2,734.72
  4. Step 4: Simplify right side
    3,771.16x = 15,456,856.22
  5. Step 5: Solve for x
    x = 15,456,856.22/3,771.16
  6. Step 6: Final answer
    x = 4,098.70

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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.