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Finding the Fourth Proportional to 4,202.64, 5,800.20 and 3,027.60

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Solution

The fourth proportional to 4,202.64, 5,800.20 and 3,027.60 is: 4,178.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.64 : 5,800.20 = 3,027.60 : x
  2. Step 2: Convert to fraction form
    4,202.64/5,800.20 = 3,027.60/x
  3. Step 3: Cross multiply
    4,202.64x = 5,800.20 × 3,027.60
  4. Step 4: Simplify right side
    4,202.64x = 17,560,685.52
  5. Step 5: Solve for x
    x = 17,560,685.52/4,202.64
  6. Step 6: Final answer
    x = 4,178.49

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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.