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Finding the Fourth Proportional to 4,422.40, 6,102.40 and 3,027.20

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Solution

The fourth proportional to 4,422.40, 6,102.40 and 3,027.20 is: 4,177.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,422.40 : 6,102.40 = 3,027.20 : x
  2. Step 2: Convert to fraction form
    4,422.40/6,102.40 = 3,027.20/x
  3. Step 3: Cross multiply
    4,422.40x = 6,102.40 × 3,027.20
  4. Step 4: Simplify right side
    4,422.40x = 18,473,185.28
  5. Step 5: Solve for x
    x = 18,473,185.28/4,422.40
  6. Step 6: Final answer
    x = 4,177.19

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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.