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Finding the Fourth Proportional to 4,068.29, 5,614.25 and 2,205.29

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Solution

The fourth proportional to 4,068.29, 5,614.25 and 2,205.29 is: 3,043.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,068.29 : 5,614.25 = 2,205.29 : x
  2. Step 2: Convert to fraction form
    4,068.29/5,614.25 = 2,205.29/x
  3. Step 3: Cross multiply
    4,068.29x = 5,614.25 × 2,205.29
  4. Step 4: Simplify right side
    4,068.29x = 12,381,049.38
  5. Step 5: Solve for x
    x = 12,381,049.38/4,068.29
  6. Step 6: Final answer
    x = 3,043.31

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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.