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Finding the Fourth Proportional to 5,734.67, 7,915.49 and 3,378.18

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Solution

The fourth proportional to 5,734.67, 7,915.49 and 3,378.18 is: 4,662.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.67 : 7,915.49 = 3,378.18 : x
  2. Step 2: Convert to fraction form
    5,734.67/7,915.49 = 3,378.18/x
  3. Step 3: Cross multiply
    5,734.67x = 7,915.49 × 3,378.18
  4. Step 4: Simplify right side
    5,734.67x = 26,739,933.12
  5. Step 5: Solve for x
    x = 26,739,933.12/5,734.67
  6. Step 6: Final answer
    x = 4,662.86

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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.