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Finding the Fourth Proportional to 4,197.07, 5,791.87 and 2,705.25

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Solution

The fourth proportional to 4,197.07, 5,791.87 and 2,705.25 is: 3,733.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.07 : 5,791.87 = 2,705.25 : x
  2. Step 2: Convert to fraction form
    4,197.07/5,791.87 = 2,705.25/x
  3. Step 3: Cross multiply
    4,197.07x = 5,791.87 × 2,705.25
  4. Step 4: Simplify right side
    4,197.07x = 15,668,456.32
  5. Step 5: Solve for x
    x = 15,668,456.32/4,197.07
  6. Step 6: Final answer
    x = 3,733.19

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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.