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Finding the Fourth Proportional to 3,921.70, 5,882.56 and 1,000.02

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Solution

The fourth proportional to 3,921.70, 5,882.56 and 1,000.02 is: 1,500.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,921.70 : 5,882.56 = 1,000.02 : x
  2. Step 2: Convert to fraction form
    3,921.70/5,882.56 = 1,000.02/x
  3. Step 3: Cross multiply
    3,921.70x = 5,882.56 × 1,000.02
  4. Step 4: Simplify right side
    3,921.70x = 5,882,677.65
  5. Step 5: Solve for x
    x = 5,882,677.65/3,921.70
  6. Step 6: Final answer
    x = 1,500.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.