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Finding the Fourth Proportional to 5,882.96, 8,825.02 and 1,500.46

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Solution

The fourth proportional to 5,882.96, 8,825.02 and 1,500.46 is: 2,250.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.96 : 8,825.02 = 1,500.46 : x
  2. Step 2: Convert to fraction form
    5,882.96/8,825.02 = 1,500.46/x
  3. Step 3: Cross multiply
    5,882.96x = 8,825.02 × 1,500.46
  4. Step 4: Simplify right side
    5,882.96x = 13,241,563.70
  5. Step 5: Solve for x
    x = 13,241,563.70/5,882.96
  6. Step 6: Final answer
    x = 2,250.83

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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.