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Finding the Fourth Proportional to 5,757.82, 7,947.10 and 4,077.46

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Solution

The fourth proportional to 5,757.82, 7,947.10 and 4,077.46 is: 5,627.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.82 : 7,947.10 = 4,077.46 : x
  2. Step 2: Convert to fraction form
    5,757.82/7,947.10 = 4,077.46/x
  3. Step 3: Cross multiply
    5,757.82x = 7,947.10 × 4,077.46
  4. Step 4: Simplify right side
    5,757.82x = 32,403,982.37
  5. Step 5: Solve for x
    x = 32,403,982.37/5,757.82
  6. Step 6: Final answer
    x = 5,627.82

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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.