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Finding the Fourth Proportional to 5,469.24, 7,546.86 and 3,078.92

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Solution

The fourth proportional to 5,469.24, 7,546.86 and 3,078.92 is: 4,248.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.24 : 7,546.86 = 3,078.92 : x
  2. Step 2: Convert to fraction form
    5,469.24/7,546.86 = 3,078.92/x
  3. Step 3: Cross multiply
    5,469.24x = 7,546.86 × 3,078.92
  4. Step 4: Simplify right side
    5,469.24x = 23,236,140.46
  5. Step 5: Solve for x
    x = 23,236,140.46/5,469.24
  6. Step 6: Final answer
    x = 4,248.51

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