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Finding the Fourth Proportional to 5,734.26, 7,913.56 and 3,377.16

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Solution

The fourth proportional to 5,734.26, 7,913.56 and 3,377.16 is: 4,660.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.26 : 7,913.56 = 3,377.16 : x
  2. Step 2: Convert to fraction form
    5,734.26/7,913.56 = 3,377.16/x
  3. Step 3: Cross multiply
    5,734.26x = 7,913.56 × 3,377.16
  4. Step 4: Simplify right side
    5,734.26x = 26,725,358.29
  5. Step 5: Solve for x
    x = 26,725,358.29/5,734.26
  6. Step 6: Final answer
    x = 4,660.65

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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.