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Finding the Fourth Proportional to 5,680.26, 7,834.71 and 3,556.92

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Solution

The fourth proportional to 5,680.26, 7,834.71 and 3,556.92 is: 4,906.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,680.26 : 7,834.71 = 3,556.92 : x
  2. Step 2: Convert to fraction form
    5,680.26/7,834.71 = 3,556.92/x
  3. Step 3: Cross multiply
    5,680.26x = 7,834.71 × 3,556.92
  4. Step 4: Simplify right side
    5,680.26x = 27,867,436.69
  5. Step 5: Solve for x
    x = 27,867,436.69/5,680.26
  6. Step 6: Final answer
    x = 4,906.01

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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.