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Finding the Fourth Proportional to 3,755.66, 5,184.47 and 2,243.75

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Solution

The fourth proportional to 3,755.66, 5,184.47 and 2,243.75 is: 3,097.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.66 : 5,184.47 = 2,243.75 : x
  2. Step 2: Convert to fraction form
    3,755.66/5,184.47 = 2,243.75/x
  3. Step 3: Cross multiply
    3,755.66x = 5,184.47 × 2,243.75
  4. Step 4: Simplify right side
    3,755.66x = 11,632,634.25
  5. Step 5: Solve for x
    x = 11,632,634.25/3,755.66
  6. Step 6: Final answer
    x = 3,097.36

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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.