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Finding the Fourth Proportional to 6,015.24, 8,301.46 and 4,149

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Solution

The fourth proportional to 6,015.24, 8,301.46 and 4,149 is: 5,725.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,015.24 : 8,301.46 = 4,149 : x
  2. Step 2: Convert to fraction form
    6,015.24/8,301.46 = 4,149/x
  3. Step 3: Cross multiply
    6,015.24x = 8,301.46 × 4,149
  4. Step 4: Simplify right side
    6,015.24x = 34,442,757.54
  5. Step 5: Solve for x
    x = 34,442,757.54/6,015.24
  6. Step 6: Final answer
    x = 5,725.92

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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.