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Finding the Fourth Proportional to 3,789.74, 5,229.90 and 2,088.45

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Solution

The fourth proportional to 3,789.74, 5,229.90 and 2,088.45 is: 2,882.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.74 : 5,229.90 = 2,088.45 : x
  2. Step 2: Convert to fraction form
    3,789.74/5,229.90 = 2,088.45/x
  3. Step 3: Cross multiply
    3,789.74x = 5,229.90 × 2,088.45
  4. Step 4: Simplify right side
    3,789.74x = 10,922,384.66
  5. Step 5: Solve for x
    x = 10,922,384.66/3,789.74
  6. Step 6: Final answer
    x = 2,882.09

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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.