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Finding the Fourth Proportional to 5,647.25, 7,793.47 and 3,409.08

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Solution

The fourth proportional to 5,647.25, 7,793.47 and 3,409.08 is: 4,704.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.25 : 7,793.47 = 3,409.08 : x
  2. Step 2: Convert to fraction form
    5,647.25/7,793.47 = 3,409.08/x
  3. Step 3: Cross multiply
    5,647.25x = 7,793.47 × 3,409.08
  4. Step 4: Simplify right side
    5,647.25x = 26,568,562.71
  5. Step 5: Solve for x
    x = 26,568,562.71/5,647.25
  6. Step 6: Final answer
    x = 4,704.69

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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.