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Finding the Fourth Proportional to 3,866, 5,798.92 and 1,092.64

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Solution

The fourth proportional to 3,866, 5,798.92 and 1,092.64 is: 1,638.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866 : 5,798.92 = 1,092.64 : x
  2. Step 2: Convert to fraction form
    3,866/5,798.92 = 1,092.64/x
  3. Step 3: Cross multiply
    3,866x = 5,798.92 × 1,092.64
  4. Step 4: Simplify right side
    3,866x = 6,336,131.95
  5. Step 5: Solve for x
    x = 6,336,131.95/3,866
  6. Step 6: Final answer
    x = 1,638.94

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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.