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Finding the Fourth Proportional to 3,920.92, 5,882.46 and 1,325.68

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Solution

The fourth proportional to 3,920.92, 5,882.46 and 1,325.68 is: 1,988.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.92 : 5,882.46 = 1,325.68 : x
  2. Step 2: Convert to fraction form
    3,920.92/5,882.46 = 1,325.68/x
  3. Step 3: Cross multiply
    3,920.92x = 5,882.46 × 1,325.68
  4. Step 4: Simplify right side
    3,920.92x = 7,798,259.57
  5. Step 5: Solve for x
    x = 7,798,259.57/3,920.92
  6. Step 6: Final answer
    x = 1,988.89

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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.