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Finding the Fourth Proportional to 3,706.86, 5,115.45 and 2,028.24

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Solution

The fourth proportional to 3,706.86, 5,115.45 and 2,028.24 is: 2,798.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.86 : 5,115.45 = 2,028.24 : x
  2. Step 2: Convert to fraction form
    3,706.86/5,115.45 = 2,028.24/x
  3. Step 3: Cross multiply
    3,706.86x = 5,115.45 × 2,028.24
  4. Step 4: Simplify right side
    3,706.86x = 10,375,367.91
  5. Step 5: Solve for x
    x = 10,375,367.91/3,706.86
  6. Step 6: Final answer
    x = 2,798.96

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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.