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Finding the Fourth Proportional to 3,845.60, 5,768.40 and 2,679.20

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Solution

The fourth proportional to 3,845.60, 5,768.40 and 2,679.20 is: 4,018.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845.60 : 5,768.40 = 2,679.20 : x
  2. Step 2: Convert to fraction form
    3,845.60/5,768.40 = 2,679.20/x
  3. Step 3: Cross multiply
    3,845.60x = 5,768.40 × 2,679.20
  4. Step 4: Simplify right side
    3,845.60x = 15,454,697.28
  5. Step 5: Solve for x
    x = 15,454,697.28/3,845.60
  6. Step 6: Final answer
    x = 4,018.80

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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.