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Finding the Fourth Proportional to 5,244.75, 7,867.13 and 2,166.83

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Solution

The fourth proportional to 5,244.75, 7,867.13 and 2,166.83 is: 3,250.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,244.75 : 7,867.13 = 2,166.83 : x
  2. Step 2: Convert to fraction form
    5,244.75/7,867.13 = 2,166.83/x
  3. Step 3: Cross multiply
    5,244.75x = 7,867.13 × 2,166.83
  4. Step 4: Simplify right side
    5,244.75x = 17,046,722.46
  5. Step 5: Solve for x
    x = 17,046,722.46/5,244.75
  6. Step 6: Final answer
    x = 3,250.25

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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.