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Finding the Fourth Proportional to 5,378.44, 8,069.28 and 1,915.24

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Solution

The fourth proportional to 5,378.44, 8,069.28 and 1,915.24 is: 2,873.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.44 : 8,069.28 = 1,915.24 : x
  2. Step 2: Convert to fraction form
    5,378.44/8,069.28 = 1,915.24/x
  3. Step 3: Cross multiply
    5,378.44x = 8,069.28 × 1,915.24
  4. Step 4: Simplify right side
    5,378.44x = 15,454,607.83
  5. Step 5: Solve for x
    x = 15,454,607.83/5,378.44
  6. Step 6: Final answer
    x = 2,873.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.