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Finding the Fourth Proportional to 4,000.96, 5,521.92 and 2,885.60

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Solution

The fourth proportional to 4,000.96, 5,521.92 and 2,885.60 is: 3,982.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.96 : 5,521.92 = 2,885.60 : x
  2. Step 2: Convert to fraction form
    4,000.96/5,521.92 = 2,885.60/x
  3. Step 3: Cross multiply
    4,000.96x = 5,521.92 × 2,885.60
  4. Step 4: Simplify right side
    4,000.96x = 15,934,052.35
  5. Step 5: Solve for x
    x = 15,934,052.35/4,000.96
  6. Step 6: Final answer
    x = 3,982.56

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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.