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Finding the Fourth Proportional to 3,421.60, 5,121.60 and 2,687.20

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Solution

The fourth proportional to 3,421.60, 5,121.60 and 2,687.20 is: 4,022.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.60 : 5,121.60 = 2,687.20 : x
  2. Step 2: Convert to fraction form
    3,421.60/5,121.60 = 2,687.20/x
  3. Step 3: Cross multiply
    3,421.60x = 5,121.60 × 2,687.20
  4. Step 4: Simplify right side
    3,421.60x = 13,762,763.52
  5. Step 5: Solve for x
    x = 13,762,763.52/3,421.60
  6. Step 6: Final answer
    x = 4,022.32

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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.