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Finding the Fourth Proportional to 5,489.75, 7,562.49 and 4,162.16

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Solution

The fourth proportional to 5,489.75, 7,562.49 and 4,162.16 is: 5,733.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.75 : 7,562.49 = 4,162.16 : x
  2. Step 2: Convert to fraction form
    5,489.75/7,562.49 = 4,162.16/x
  3. Step 3: Cross multiply
    5,489.75x = 7,562.49 × 4,162.16
  4. Step 4: Simplify right side
    5,489.75x = 31,476,293.38
  5. Step 5: Solve for x
    x = 31,476,293.38/5,489.75
  6. Step 6: Final answer
    x = 5,733.65

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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.