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Finding the Fourth Proportional to 3,737.64, 5,151.60 and 2,556.66

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Solution

The fourth proportional to 3,737.64, 5,151.60 and 2,556.66 is: 3,523.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.64 : 5,151.60 = 2,556.66 : x
  2. Step 2: Convert to fraction form
    3,737.64/5,151.60 = 2,556.66/x
  3. Step 3: Cross multiply
    3,737.64x = 5,151.60 × 2,556.66
  4. Step 4: Simplify right side
    3,737.64x = 13,170,889.66
  5. Step 5: Solve for x
    x = 13,170,889.66/3,737.64
  6. Step 6: Final answer
    x = 3,523.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.