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Finding the Fourth Proportional to 4,068, 5,613.84 and 2,205

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Solution

The fourth proportional to 4,068, 5,613.84 and 2,205 is: 3,042.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,068 : 5,613.84 = 2,205 : x
  2. Step 2: Convert to fraction form
    4,068/5,613.84 = 2,205/x
  3. Step 3: Cross multiply
    4,068x = 5,613.84 × 2,205
  4. Step 4: Simplify right side
    4,068x = 12,378,517.20
  5. Step 5: Solve for x
    x = 12,378,517.20/4,068
  6. Step 6: Final answer
    x = 3,042.90

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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.