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Finding the Fourth Proportional to 5,677.44, 8,516.20 and 1,979.66

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Solution

The fourth proportional to 5,677.44, 8,516.20 and 1,979.66 is: 2,969.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.44 : 8,516.20 = 1,979.66 : x
  2. Step 2: Convert to fraction form
    5,677.44/8,516.20 = 1,979.66/x
  3. Step 3: Cross multiply
    5,677.44x = 8,516.20 × 1,979.66
  4. Step 4: Simplify right side
    5,677.44x = 16,859,180.49
  5. Step 5: Solve for x
    x = 16,859,180.49/5,677.44
  6. Step 6: Final answer
    x = 2,969.50

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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.