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Finding the Fourth Proportional to 5,759.48, 7,947.64 and 3,401.17

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Solution

The fourth proportional to 5,759.48, 7,947.64 and 3,401.17 is: 4,693.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759.48 : 7,947.64 = 3,401.17 : x
  2. Step 2: Convert to fraction form
    5,759.48/7,947.64 = 3,401.17/x
  3. Step 3: Cross multiply
    5,759.48x = 7,947.64 × 3,401.17
  4. Step 4: Simplify right side
    5,759.48x = 27,031,274.74
  5. Step 5: Solve for x
    x = 27,031,274.74/5,759.48
  6. Step 6: Final answer
    x = 4,693.35

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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.