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Finding the Fourth Proportional to 4,107.75, 5,668.70 and 2,244.75

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Solution

The fourth proportional to 4,107.75, 5,668.70 and 2,244.75 is: 3,097.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.75 : 5,668.70 = 2,244.75 : x
  2. Step 2: Convert to fraction form
    4,107.75/5,668.70 = 2,244.75/x
  3. Step 3: Cross multiply
    4,107.75x = 5,668.70 × 2,244.75
  4. Step 4: Simplify right side
    4,107.75x = 12,724,803.10
  5. Step 5: Solve for x
    x = 12,724,803.10/4,107.75
  6. Step 6: Final answer
    x = 3,097.76

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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.