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Finding the Fourth Proportional to 5,759.82, 7,947.36 and 3,401.46

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Solution

The fourth proportional to 5,759.82, 7,947.36 and 3,401.46 is: 4,693.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759.82 : 7,947.36 = 3,401.46 : x
  2. Step 2: Convert to fraction form
    5,759.82/7,947.36 = 3,401.46/x
  3. Step 3: Cross multiply
    5,759.82x = 7,947.36 × 3,401.46
  4. Step 4: Simplify right side
    5,759.82x = 27,032,627.15
  5. Step 5: Solve for x
    x = 27,032,627.15/5,759.82
  6. Step 6: Final answer
    x = 4,693.31

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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.