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Finding the Fourth Proportional to 4,068.68, 5,614.76 and 2,205.68

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Solution

The fourth proportional to 4,068.68, 5,614.76 and 2,205.68 is: 3,043.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,068.68 : 5,614.76 = 2,205.68 : x
  2. Step 2: Convert to fraction form
    4,068.68/5,614.76 = 2,205.68/x
  3. Step 3: Cross multiply
    4,068.68x = 5,614.76 × 2,205.68
  4. Step 4: Simplify right side
    4,068.68x = 12,384,363.84
  5. Step 5: Solve for x
    x = 12,384,363.84/4,068.68
  6. Step 6: Final answer
    x = 3,043.83

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