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Finding the Fourth Proportional to 5,981.54, 8,251.94 and 3,856.64

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Solution

The fourth proportional to 5,981.54, 8,251.94 and 3,856.64 is: 5,320.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,981.54 : 8,251.94 = 3,856.64 : x
  2. Step 2: Convert to fraction form
    5,981.54/8,251.94 = 3,856.64/x
  3. Step 3: Cross multiply
    5,981.54x = 8,251.94 × 3,856.64
  4. Step 4: Simplify right side
    5,981.54x = 31,824,761.88
  5. Step 5: Solve for x
    x = 31,824,761.88/5,981.54
  6. Step 6: Final answer
    x = 5,320.50

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Why These Related Problems?

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