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Finding the Fourth Proportional to 3,921.81, 5,882.68 and 1,000.11

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Solution

The fourth proportional to 3,921.81, 5,882.68 and 1,000.11 is: 1,500.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,921.81 : 5,882.68 = 1,000.11 : x
  2. Step 2: Convert to fraction form
    3,921.81/5,882.68 = 1,000.11/x
  3. Step 3: Cross multiply
    3,921.81x = 5,882.68 × 1,000.11
  4. Step 4: Simplify right side
    3,921.81x = 5,883,292.68
  5. Step 5: Solve for x
    x = 5,883,292.68/3,921.81
  6. Step 6: Final answer
    x = 1,500.15

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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.