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Finding the Fourth Proportional to 5,734.29, 7,914.97 and 3,377.80

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Solution

The fourth proportional to 5,734.29, 7,914.97 and 3,377.80 is: 4,662.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.29 : 7,914.97 = 3,377.80 : x
  2. Step 2: Convert to fraction form
    5,734.29/7,914.97 = 3,377.80/x
  3. Step 3: Cross multiply
    5,734.29x = 7,914.97 × 3,377.80
  4. Step 4: Simplify right side
    5,734.29x = 26,735,199.78
  5. Step 5: Solve for x
    x = 26,735,199.78/5,734.29
  6. Step 6: Final answer
    x = 4,662.34

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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.