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Finding the Fourth Proportional to 5,438.78, 8,161.82 and 1,976.03

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Solution

The fourth proportional to 5,438.78, 8,161.82 and 1,976.03 is: 2,965.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.78 : 8,161.82 = 1,976.03 : x
  2. Step 2: Convert to fraction form
    5,438.78/8,161.82 = 1,976.03/x
  3. Step 3: Cross multiply
    5,438.78x = 8,161.82 × 1,976.03
  4. Step 4: Simplify right side
    5,438.78x = 16,127,950.49
  5. Step 5: Solve for x
    x = 16,127,950.49/5,438.78
  6. Step 6: Final answer
    x = 2,965.36

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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.