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Finding the Fourth Proportional to 5,439.56, 8,159.54 and 1,974.38

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Solution

The fourth proportional to 5,439.56, 8,159.54 and 1,974.38 is: 2,961.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,439.56 : 8,159.54 = 1,974.38 : x
  2. Step 2: Convert to fraction form
    5,439.56/8,159.54 = 1,974.38/x
  3. Step 3: Cross multiply
    5,439.56x = 8,159.54 × 1,974.38
  4. Step 4: Simplify right side
    5,439.56x = 16,109,981.92
  5. Step 5: Solve for x
    x = 16,109,981.92/5,439.56
  6. Step 6: Final answer
    x = 2,961.64

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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.