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Finding the Fourth Proportional to 5,687.76, 8,520.60 and 3,734.04

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Solution

The fourth proportional to 5,687.76, 8,520.60 and 3,734.04 is: 5,593.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.76 : 8,520.60 = 3,734.04 : x
  2. Step 2: Convert to fraction form
    5,687.76/8,520.60 = 3,734.04/x
  3. Step 3: Cross multiply
    5,687.76x = 8,520.60 × 3,734.04
  4. Step 4: Simplify right side
    5,687.76x = 31,816,261.22
  5. Step 5: Solve for x
    x = 31,816,261.22/5,687.76
  6. Step 6: Final answer
    x = 5,593.81

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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.