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Finding the Fourth Proportional to 5,981.88, 8,251.32 and 3,856.62

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Solution

The fourth proportional to 5,981.88, 8,251.32 and 3,856.62 is: 5,319.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,981.88 : 8,251.32 = 3,856.62 : x
  2. Step 2: Convert to fraction form
    5,981.88/8,251.32 = 3,856.62/x
  3. Step 3: Cross multiply
    5,981.88x = 8,251.32 × 3,856.62
  4. Step 4: Simplify right side
    5,981.88x = 31,822,251.14
  5. Step 5: Solve for x
    x = 31,822,251.14/5,981.88
  6. Step 6: Final answer
    x = 5,319.77

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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.