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Finding the Fourth Proportional to 3,966.14, 5,950.04 and 1,500.90

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Solution

The fourth proportional to 3,966.14, 5,950.04 and 1,500.90 is: 2,251.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.14 : 5,950.04 = 1,500.90 : x
  2. Step 2: Convert to fraction form
    3,966.14/5,950.04 = 1,500.90/x
  3. Step 3: Cross multiply
    3,966.14x = 5,950.04 × 1,500.90
  4. Step 4: Simplify right side
    3,966.14x = 8,930,415.04
  5. Step 5: Solve for x
    x = 8,930,415.04/3,966.14
  6. Step 6: Final answer
    x = 2,251.66

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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.