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Finding the Fourth Proportional to 5,734.28, 7,913.18 and 3,344.76

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Solution

The fourth proportional to 5,734.28, 7,913.18 and 3,344.76 is: 4,615.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.28 : 7,913.18 = 3,344.76 : x
  2. Step 2: Convert to fraction form
    5,734.28/7,913.18 = 3,344.76/x
  3. Step 3: Cross multiply
    5,734.28x = 7,913.18 × 3,344.76
  4. Step 4: Simplify right side
    5,734.28x = 26,467,687.94
  5. Step 5: Solve for x
    x = 26,467,687.94/5,734.28
  6. Step 6: Final answer
    x = 4,615.70

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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.