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Finding the Fourth Proportional to 3,791.40, 5,233.59 and 3,397.74

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Solution

The fourth proportional to 3,791.40, 5,233.59 and 3,397.74 is: 4,690.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.40 : 5,233.59 = 3,397.74 : x
  2. Step 2: Convert to fraction form
    3,791.40/5,233.59 = 3,397.74/x
  3. Step 3: Cross multiply
    3,791.40x = 5,233.59 × 3,397.74
  4. Step 4: Simplify right side
    3,791.40x = 17,782,378.09
  5. Step 5: Solve for x
    x = 17,782,378.09/3,791.40
  6. Step 6: Final answer
    x = 4,690.19

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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.