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Finding the Fourth Proportional to 5,344.20, 8,006.10 and 2,878.20

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Solution

The fourth proportional to 5,344.20, 8,006.10 and 2,878.20 is: 4,311.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,344.20 : 8,006.10 = 2,878.20 : x
  2. Step 2: Convert to fraction form
    5,344.20/8,006.10 = 2,878.20/x
  3. Step 3: Cross multiply
    5,344.20x = 8,006.10 × 2,878.20
  4. Step 4: Simplify right side
    5,344.20x = 23,043,157.02
  5. Step 5: Solve for x
    x = 23,043,157.02/5,344.20
  6. Step 6: Final answer
    x = 4,311.81

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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.