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Finding the Fourth Proportional to 6,049.92, 9,081.24 and 5,361

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Solution

The fourth proportional to 6,049.92, 9,081.24 and 5,361 is: 8,047.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049.92 : 9,081.24 = 5,361 : x
  2. Step 2: Convert to fraction form
    6,049.92/9,081.24 = 5,361/x
  3. Step 3: Cross multiply
    6,049.92x = 9,081.24 × 5,361
  4. Step 4: Simplify right side
    6,049.92x = 48,684,527.64
  5. Step 5: Solve for x
    x = 48,684,527.64/6,049.92
  6. Step 6: Final answer
    x = 8,047.14

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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.