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Finding the Fourth Proportional to 3,765.60, 5,651.10 and 2,120.40

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Solution

The fourth proportional to 3,765.60, 5,651.10 and 2,120.40 is: 3,182.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.60 : 5,651.10 = 2,120.40 : x
  2. Step 2: Convert to fraction form
    3,765.60/5,651.10 = 2,120.40/x
  3. Step 3: Cross multiply
    3,765.60x = 5,651.10 × 2,120.40
  4. Step 4: Simplify right side
    3,765.60x = 11,982,592.44
  5. Step 5: Solve for x
    x = 11,982,592.44/3,765.60
  6. Step 6: Final answer
    x = 3,182.12

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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.