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Finding the Fourth Proportional to 5,441.56, 8,161.78 and 1,931

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Solution

The fourth proportional to 5,441.56, 8,161.78 and 1,931 is: 2,896.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,441.56 : 8,161.78 = 1,931 : x
  2. Step 2: Convert to fraction form
    5,441.56/8,161.78 = 1,931/x
  3. Step 3: Cross multiply
    5,441.56x = 8,161.78 × 1,931
  4. Step 4: Simplify right side
    5,441.56x = 15,760,397.18
  5. Step 5: Solve for x
    x = 15,760,397.18/5,441.56
  6. Step 6: Final answer
    x = 2,896.30

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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.