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Finding the Fourth Proportional to 4,068.06, 5,613.88 and 2,205.06

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Solution

The fourth proportional to 4,068.06, 5,613.88 and 2,205.06 is: 3,042.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,068.06 : 5,613.88 = 2,205.06 : x
  2. Step 2: Convert to fraction form
    4,068.06/5,613.88 = 2,205.06/x
  3. Step 3: Cross multiply
    4,068.06x = 5,613.88 × 2,205.06
  4. Step 4: Simplify right side
    4,068.06x = 12,378,942.23
  5. Step 5: Solve for x
    x = 12,378,942.23/4,068.06
  6. Step 6: Final answer
    x = 3,042.96

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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.