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Finding the Fourth Proportional to 5,698.26, 7,863.78 and 3,340.56

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Solution

The fourth proportional to 5,698.26, 7,863.78 and 3,340.56 is: 4,610.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.26 : 7,863.78 = 3,340.56 : x
  2. Step 2: Convert to fraction form
    5,698.26/7,863.78 = 3,340.56/x
  3. Step 3: Cross multiply
    5,698.26x = 7,863.78 × 3,340.56
  4. Step 4: Simplify right side
    5,698.26x = 26,269,428.92
  5. Step 5: Solve for x
    x = 26,269,428.92/5,698.26
  6. Step 6: Final answer
    x = 4,610.08

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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.