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Finding the Fourth Proportional to 4,063.97, 5,608.22 and 2,296.14

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Solution

The fourth proportional to 4,063.97, 5,608.22 and 2,296.14 is: 3,168.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,063.97 : 5,608.22 = 2,296.14 : x
  2. Step 2: Convert to fraction form
    4,063.97/5,608.22 = 2,296.14/x
  3. Step 3: Cross multiply
    4,063.97x = 5,608.22 × 2,296.14
  4. Step 4: Simplify right side
    4,063.97x = 12,877,246.79
  5. Step 5: Solve for x
    x = 12,877,246.79/4,063.97
  6. Step 6: Final answer
    x = 3,168.64

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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.