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Finding the Fourth Proportional to 3,839.71, 5,719.94 and 3,723.56

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Solution

The fourth proportional to 3,839.71, 5,719.94 and 3,723.56 is: 5,546.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.71 : 5,719.94 = 3,723.56 : x
  2. Step 2: Convert to fraction form
    3,839.71/5,719.94 = 3,723.56/x
  3. Step 3: Cross multiply
    3,839.71x = 5,719.94 × 3,723.56
  4. Step 4: Simplify right side
    3,839.71x = 21,298,539.79
  5. Step 5: Solve for x
    x = 21,298,539.79/3,839.71
  6. Step 6: Final answer
    x = 5,546.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.