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Finding the Fourth Proportional to 6,759.60, 10,122.92 and 3,829.02

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Solution

The fourth proportional to 6,759.60, 10,122.92 and 3,829.02 is: 5,734.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,759.60 : 10,122.92 = 3,829.02 : x
  2. Step 2: Convert to fraction form
    6,759.60/10,122.92 = 3,829.02/x
  3. Step 3: Cross multiply
    6,759.60x = 10,122.92 × 3,829.02
  4. Step 4: Simplify right side
    6,759.60x = 38,760,863.14
  5. Step 5: Solve for x
    x = 38,760,863.14/6,759.60
  6. Step 6: Final answer
    x = 5,734.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.