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Finding the Fourth Proportional to 3,965.16, 5,947.92 and 1,499.16

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Solution

The fourth proportional to 3,965.16, 5,947.92 and 1,499.16 is: 2,248.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.16 : 5,947.92 = 1,499.16 : x
  2. Step 2: Convert to fraction form
    3,965.16/5,947.92 = 1,499.16/x
  3. Step 3: Cross multiply
    3,965.16x = 5,947.92 × 1,499.16
  4. Step 4: Simplify right side
    3,965.16x = 8,916,883.75
  5. Step 5: Solve for x
    x = 8,916,883.75/3,965.16
  6. Step 6: Final answer
    x = 2,248.81

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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.