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Finding the Fourth Proportional to 4,488.38, 6,736 and 2,296.92

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Solution

The fourth proportional to 4,488.38, 6,736 and 2,296.92 is: 3,447.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,488.38 : 6,736 = 2,296.92 : x
  2. Step 2: Convert to fraction form
    4,488.38/6,736 = 2,296.92/x
  3. Step 3: Cross multiply
    4,488.38x = 6,736 × 2,296.92
  4. Step 4: Simplify right side
    4,488.38x = 15,472,053.12
  5. Step 5: Solve for x
    x = 15,472,053.12/4,488.38
  6. Step 6: Final answer
    x = 3,447.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.