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Finding the Fourth Proportional to 5,478.44, 8,207.94 and 2,883.20

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Solution

The fourth proportional to 5,478.44, 8,207.94 and 2,883.20 is: 4,319.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.44 : 8,207.94 = 2,883.20 : x
  2. Step 2: Convert to fraction form
    5,478.44/8,207.94 = 2,883.20/x
  3. Step 3: Cross multiply
    5,478.44x = 8,207.94 × 2,883.20
  4. Step 4: Simplify right side
    5,478.44x = 23,665,132.61
  5. Step 5: Solve for x
    x = 23,665,132.61/5,478.44
  6. Step 6: Final answer
    x = 4,319.68

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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.