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Finding the Fourth Proportional to 3,966.97, 5,950.59 and 1,501.20

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Solution

The fourth proportional to 3,966.97, 5,950.59 and 1,501.20 is: 2,251.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.97 : 5,950.59 = 1,501.20 : x
  2. Step 2: Convert to fraction form
    3,966.97/5,950.59 = 1,501.20/x
  3. Step 3: Cross multiply
    3,966.97x = 5,950.59 × 1,501.20
  4. Step 4: Simplify right side
    3,966.97x = 8,933,025.71
  5. Step 5: Solve for x
    x = 8,933,025.71/3,966.97
  6. Step 6: Final answer
    x = 2,251.85

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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.