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Finding the Fourth Proportional to 3,734.64, 5,153.49 and 2,162.43

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Solution

The fourth proportional to 3,734.64, 5,153.49 and 2,162.43 is: 2,983.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.64 : 5,153.49 = 2,162.43 : x
  2. Step 2: Convert to fraction form
    3,734.64/5,153.49 = 2,162.43/x
  3. Step 3: Cross multiply
    3,734.64x = 5,153.49 × 2,162.43
  4. Step 4: Simplify right side
    3,734.64x = 11,144,061.38
  5. Step 5: Solve for x
    x = 11,144,061.38/3,734.64
  6. Step 6: Final answer
    x = 2,983.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.