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Finding the Fourth Proportional to 5,295.13, 7,306.87 and 3,057.33

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Solution

The fourth proportional to 5,295.13, 7,306.87 and 3,057.33 is: 4,218.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.13 : 7,306.87 = 3,057.33 : x
  2. Step 2: Convert to fraction form
    5,295.13/7,306.87 = 3,057.33/x
  3. Step 3: Cross multiply
    5,295.13x = 7,306.87 × 3,057.33
  4. Step 4: Simplify right side
    5,295.13x = 22,339,512.86
  5. Step 5: Solve for x
    x = 22,339,512.86/5,295.13
  6. Step 6: Final answer
    x = 4,218.88

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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.