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Finding the Fourth Proportional to 3,267.38, 4,508.90 and 1,775.26

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Solution

The fourth proportional to 3,267.38, 4,508.90 and 1,775.26 is: 2,449.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.38 : 4,508.90 = 1,775.26 : x
  2. Step 2: Convert to fraction form
    3,267.38/4,508.90 = 1,775.26/x
  3. Step 3: Cross multiply
    3,267.38x = 4,508.90 × 1,775.26
  4. Step 4: Simplify right side
    3,267.38x = 8,004,449.67
  5. Step 5: Solve for x
    x = 8,004,449.67/3,267.38
  6. Step 6: Final answer
    x = 2,449.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.