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Finding the Fourth Proportional to 3,718.44, 5,566.14 and 2,182.44

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Solution

The fourth proportional to 3,718.44, 5,566.14 and 2,182.44 is: 3,266.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,718.44 : 5,566.14 = 2,182.44 : x
  2. Step 2: Convert to fraction form
    3,718.44/5,566.14 = 2,182.44/x
  3. Step 3: Cross multiply
    3,718.44x = 5,566.14 × 2,182.44
  4. Step 4: Simplify right side
    3,718.44x = 12,147,766.58
  5. Step 5: Solve for x
    x = 12,147,766.58/3,718.44
  6. Step 6: Final answer
    x = 3,266.90

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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.