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Finding the Fourth Proportional to 6,052.48, 9,062.88 and 3,965.92

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Solution

The fourth proportional to 6,052.48, 9,062.88 and 3,965.92 is: 5,938.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,052.48 : 9,062.88 = 3,965.92 : x
  2. Step 2: Convert to fraction form
    6,052.48/9,062.88 = 3,965.92/x
  3. Step 3: Cross multiply
    6,052.48x = 9,062.88 × 3,965.92
  4. Step 4: Simplify right side
    6,052.48x = 35,942,657.05
  5. Step 5: Solve for x
    x = 35,942,657.05/6,052.48
  6. Step 6: Final answer
    x = 5,938.50

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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.