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Finding the Fourth Proportional to 3,921.38, 5,882.75 and 1,323.71

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Solution

The fourth proportional to 3,921.38, 5,882.75 and 1,323.71 is: 1,985.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,921.38 : 5,882.75 = 1,323.71 : x
  2. Step 2: Convert to fraction form
    3,921.38/5,882.75 = 1,323.71/x
  3. Step 3: Cross multiply
    3,921.38x = 5,882.75 × 1,323.71
  4. Step 4: Simplify right side
    3,921.38x = 7,787,055.00
  5. Step 5: Solve for x
    x = 7,787,055.00/3,921.38
  6. Step 6: Final answer
    x = 1,985.79

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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.