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Finding the Fourth Proportional to 5,976.87, 8,965.50 and 2,467.17

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Solution

The fourth proportional to 5,976.87, 8,965.50 and 2,467.17 is: 3,700.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.87 : 8,965.50 = 2,467.17 : x
  2. Step 2: Convert to fraction form
    5,976.87/8,965.50 = 2,467.17/x
  3. Step 3: Cross multiply
    5,976.87x = 8,965.50 × 2,467.17
  4. Step 4: Simplify right side
    5,976.87x = 22,119,392.52
  5. Step 5: Solve for x
    x = 22,119,392.52/5,976.87
  6. Step 6: Final answer
    x = 3,700.83

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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.