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Finding the Fourth Proportional to 3,920.27, 5,407.56 and 3,174.26

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Solution

The fourth proportional to 3,920.27, 5,407.56 and 3,174.26 is: 4,378.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.27 : 5,407.56 = 3,174.26 : x
  2. Step 2: Convert to fraction form
    3,920.27/5,407.56 = 3,174.26/x
  3. Step 3: Cross multiply
    3,920.27x = 5,407.56 × 3,174.26
  4. Step 4: Simplify right side
    3,920.27x = 17,164,974.37
  5. Step 5: Solve for x
    x = 17,164,974.37/3,920.27
  6. Step 6: Final answer
    x = 4,378.52

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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.