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Finding the Fourth Proportional to 3,965.98, 5,948.78 and 1,500.62

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Solution

The fourth proportional to 3,965.98, 5,948.78 and 1,500.62 is: 2,250.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.98 : 5,948.78 = 1,500.62 : x
  2. Step 2: Convert to fraction form
    3,965.98/5,948.78 = 1,500.62/x
  3. Step 3: Cross multiply
    3,965.98x = 5,948.78 × 1,500.62
  4. Step 4: Simplify right side
    3,965.98x = 8,926,858.24
  5. Step 5: Solve for x
    x = 8,926,858.24/3,965.98
  6. Step 6: Final answer
    x = 2,250.86

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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.