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Finding the Fourth Proportional to 5,981.44, 8,251.32 and 3,496

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Solution

The fourth proportional to 5,981.44, 8,251.32 and 3,496 is: 4,822.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,981.44 : 8,251.32 = 3,496 : x
  2. Step 2: Convert to fraction form
    5,981.44/8,251.32 = 3,496/x
  3. Step 3: Cross multiply
    5,981.44x = 8,251.32 × 3,496
  4. Step 4: Simplify right side
    5,981.44x = 28,846,614.72
  5. Step 5: Solve for x
    x = 28,846,614.72/5,981.44
  6. Step 6: Final answer
    x = 4,822.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.