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Finding the Fourth Proportional to 5,631.72, 8,441.71 and 2,119.31

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Solution

The fourth proportional to 5,631.72, 8,441.71 and 2,119.31 is: 3,176.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,631.72 : 8,441.71 = 2,119.31 : x
  2. Step 2: Convert to fraction form
    5,631.72/8,441.71 = 2,119.31/x
  3. Step 3: Cross multiply
    5,631.72x = 8,441.71 × 2,119.31
  4. Step 4: Simplify right side
    5,631.72x = 17,890,600.42
  5. Step 5: Solve for x
    x = 17,890,600.42/5,631.72
  6. Step 6: Final answer
    x = 3,176.76

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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.