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Finding the Fourth Proportional to 4,193.60, 5,789.16 and 2,622.20

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Solution

The fourth proportional to 4,193.60, 5,789.16 and 2,622.20 is: 3,619.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.60 : 5,789.16 = 2,622.20 : x
  2. Step 2: Convert to fraction form
    4,193.60/5,789.16 = 2,622.20/x
  3. Step 3: Cross multiply
    4,193.60x = 5,789.16 × 2,622.20
  4. Step 4: Simplify right side
    4,193.60x = 15,180,335.35
  5. Step 5: Solve for x
    x = 15,180,335.35/4,193.60
  6. Step 6: Final answer
    x = 3,619.88

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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.