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Finding the Fourth Proportional to 4,122.40, 6,188.40 and 2,480.80

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Solution

The fourth proportional to 4,122.40, 6,188.40 and 2,480.80 is: 3,724.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122.40 : 6,188.40 = 2,480.80 : x
  2. Step 2: Convert to fraction form
    4,122.40/6,188.40 = 2,480.80/x
  3. Step 3: Cross multiply
    4,122.40x = 6,188.40 × 2,480.80
  4. Step 4: Simplify right side
    4,122.40x = 15,352,182.72
  5. Step 5: Solve for x
    x = 15,352,182.72/4,122.40
  6. Step 6: Final answer
    x = 3,724.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.