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Finding the Fourth Proportional to 5,291.33, 7,934.73 and 2,169.17

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Solution

The fourth proportional to 5,291.33, 7,934.73 and 2,169.17 is: 3,252.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.33 : 7,934.73 = 2,169.17 : x
  2. Step 2: Convert to fraction form
    5,291.33/7,934.73 = 2,169.17/x
  3. Step 3: Cross multiply
    5,291.33x = 7,934.73 × 2,169.17
  4. Step 4: Simplify right side
    5,291.33x = 17,211,778.27
  5. Step 5: Solve for x
    x = 17,211,778.27/5,291.33
  6. Step 6: Final answer
    x = 3,252.83

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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.