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Finding the Fourth Proportional to 5,733.71, 7,906.52 and 4,244.75

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Solution

The fourth proportional to 5,733.71, 7,906.52 and 4,244.75 is: 5,853.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733.71 : 7,906.52 = 4,244.75 : x
  2. Step 2: Convert to fraction form
    5,733.71/7,906.52 = 4,244.75/x
  3. Step 3: Cross multiply
    5,733.71x = 7,906.52 × 4,244.75
  4. Step 4: Simplify right side
    5,733.71x = 33,561,140.01
  5. Step 5: Solve for x
    x = 33,561,140.01/5,733.71
  6. Step 6: Final answer
    x = 5,853.31

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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.