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Finding the Fourth Proportional to 6,289.25, 8,679.44 and 3,494.75

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Solution

The fourth proportional to 6,289.25, 8,679.44 and 3,494.75 is: 4,822.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.25 : 8,679.44 = 3,494.75 : x
  2. Step 2: Convert to fraction form
    6,289.25/8,679.44 = 3,494.75/x
  3. Step 3: Cross multiply
    6,289.25x = 8,679.44 × 3,494.75
  4. Step 4: Simplify right side
    6,289.25x = 30,332,472.94
  5. Step 5: Solve for x
    x = 30,332,472.94/6,289.25
  6. Step 6: Final answer
    x = 4,822.91

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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.