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Finding the Fourth Proportional to 5,549.30, 7,645.02 and 3,867.68

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Solution

The fourth proportional to 5,549.30, 7,645.02 and 3,867.68 is: 5,328.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,549.30 : 7,645.02 = 3,867.68 : x
  2. Step 2: Convert to fraction form
    5,549.30/7,645.02 = 3,867.68/x
  3. Step 3: Cross multiply
    5,549.30x = 7,645.02 × 3,867.68
  4. Step 4: Simplify right side
    5,549.30x = 29,568,452.73
  5. Step 5: Solve for x
    x = 29,568,452.73/5,549.30
  6. Step 6: Final answer
    x = 5,328.33

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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.