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Finding the Fourth Proportional to 5,944.40, 8,915.12 and 2,478.32

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Solution

The fourth proportional to 5,944.40, 8,915.12 and 2,478.32 is: 3,716.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,944.40 : 8,915.12 = 2,478.32 : x
  2. Step 2: Convert to fraction form
    5,944.40/8,915.12 = 2,478.32/x
  3. Step 3: Cross multiply
    5,944.40x = 8,915.12 × 2,478.32
  4. Step 4: Simplify right side
    5,944.40x = 22,094,520.20
  5. Step 5: Solve for x
    x = 22,094,520.20/5,944.40
  6. Step 6: Final answer
    x = 3,716.86

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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.