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Finding the Fourth Proportional to 3,920.38, 5,881.25 and 1,322.71

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Solution

The fourth proportional to 3,920.38, 5,881.25 and 1,322.71 is: 1,984.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.38 : 5,881.25 = 1,322.71 : x
  2. Step 2: Convert to fraction form
    3,920.38/5,881.25 = 1,322.71/x
  3. Step 3: Cross multiply
    3,920.38x = 5,881.25 × 1,322.71
  4. Step 4: Simplify right side
    3,920.38x = 7,779,181.57
  5. Step 5: Solve for x
    x = 7,779,181.57/3,920.38
  6. Step 6: Final answer
    x = 1,984.29

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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.