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Finding the Fourth Proportional to 4,087.25, 5,640.50 and 2,224.25

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Solution

The fourth proportional to 4,087.25, 5,640.50 and 2,224.25 is: 3,069.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,087.25 : 5,640.50 = 2,224.25 : x
  2. Step 2: Convert to fraction form
    4,087.25/5,640.50 = 2,224.25/x
  3. Step 3: Cross multiply
    4,087.25x = 5,640.50 × 2,224.25
  4. Step 4: Simplify right side
    4,087.25x = 12,545,882.13
  5. Step 5: Solve for x
    x = 12,545,882.13/4,087.25
  6. Step 6: Final answer
    x = 3,069.52

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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.