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Finding the Fourth Proportional to 5,644.32, 8,471.60 and 2,872.84

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Solution

The fourth proportional to 5,644.32, 8,471.60 and 2,872.84 is: 4,311.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.32 : 8,471.60 = 2,872.84 : x
  2. Step 2: Convert to fraction form
    5,644.32/8,471.60 = 2,872.84/x
  3. Step 3: Cross multiply
    5,644.32x = 8,471.60 × 2,872.84
  4. Step 4: Simplify right side
    5,644.32x = 24,337,551.34
  5. Step 5: Solve for x
    x = 24,337,551.34/5,644.32
  6. Step 6: Final answer
    x = 4,311.87

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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.