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Finding the Fourth Proportional to 6,057.69, 9,042.33 and 5,319.57

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Solution

The fourth proportional to 6,057.69, 9,042.33 and 5,319.57 is: 7,940.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.69 : 9,042.33 = 5,319.57 : x
  2. Step 2: Convert to fraction form
    6,057.69/9,042.33 = 5,319.57/x
  3. Step 3: Cross multiply
    6,057.69x = 9,042.33 × 5,319.57
  4. Step 4: Simplify right side
    6,057.69x = 48,101,361.26
  5. Step 5: Solve for x
    x = 48,101,361.26/6,057.69
  6. Step 6: Final answer
    x = 7,940.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.