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Finding the Fourth Proportional to 3,788.66, 5,685.89 and 1,939.62

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Solution

The fourth proportional to 3,788.66, 5,685.89 and 1,939.62 is: 2,910.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.66 : 5,685.89 = 1,939.62 : x
  2. Step 2: Convert to fraction form
    3,788.66/5,685.89 = 1,939.62/x
  3. Step 3: Cross multiply
    3,788.66x = 5,685.89 × 1,939.62
  4. Step 4: Simplify right side
    3,788.66x = 11,028,470.81
  5. Step 5: Solve for x
    x = 11,028,470.81/3,788.66
  6. Step 6: Final answer
    x = 2,910.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.