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Finding the Fourth Proportional to 3,921.94, 5,882.86 and 1,000.21

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Solution

The fourth proportional to 3,921.94, 5,882.86 and 1,000.21 is: 1,500.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,921.94 : 5,882.86 = 1,000.21 : x
  2. Step 2: Convert to fraction form
    3,921.94/5,882.86 = 1,000.21/x
  3. Step 3: Cross multiply
    3,921.94x = 5,882.86 × 1,000.21
  4. Step 4: Simplify right side
    3,921.94x = 5,884,095.40
  5. Step 5: Solve for x
    x = 5,884,095.40/3,921.94
  6. Step 6: Final answer
    x = 1,500.30

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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.