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Finding the Fourth Proportional to 5,372.64, 8,049.78 and 4,202.19

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Solution

The fourth proportional to 5,372.64, 8,049.78 and 4,202.19 is: 6,296.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,372.64 : 8,049.78 = 4,202.19 : x
  2. Step 2: Convert to fraction form
    5,372.64/8,049.78 = 4,202.19/x
  3. Step 3: Cross multiply
    5,372.64x = 8,049.78 × 4,202.19
  4. Step 4: Simplify right side
    5,372.64x = 33,826,705.02
  5. Step 5: Solve for x
    x = 33,826,705.02/5,372.64
  6. Step 6: Final answer
    x = 6,296.10

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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.