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Finding the Fourth Proportional to 4,201.44, 6,302.88 and 1,279.20

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Solution

The fourth proportional to 4,201.44, 6,302.88 and 1,279.20 is: 1,919.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.44 : 6,302.88 = 1,279.20 : x
  2. Step 2: Convert to fraction form
    4,201.44/6,302.88 = 1,279.20/x
  3. Step 3: Cross multiply
    4,201.44x = 6,302.88 × 1,279.20
  4. Step 4: Simplify right side
    4,201.44x = 8,062,644.10
  5. Step 5: Solve for x
    x = 8,062,644.10/4,201.44
  6. Step 6: Final answer
    x = 1,919.02

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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.