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Finding the Fourth Proportional to 5,486.94, 8,227.17 and 1,976.67

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Solution

The fourth proportional to 5,486.94, 8,227.17 and 1,976.67 is: 2,963.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.94 : 8,227.17 = 1,976.67 : x
  2. Step 2: Convert to fraction form
    5,486.94/8,227.17 = 1,976.67/x
  3. Step 3: Cross multiply
    5,486.94x = 8,227.17 × 1,976.67
  4. Step 4: Simplify right side
    5,486.94x = 16,262,400.12
  5. Step 5: Solve for x
    x = 16,262,400.12/5,486.94
  6. Step 6: Final answer
    x = 2,963.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.