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Finding the Fourth Proportional to 3,626.96, 5,442.24 and 1,680.53

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Solution

The fourth proportional to 3,626.96, 5,442.24 and 1,680.53 is: 2,521.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,626.96 : 5,442.24 = 1,680.53 : x
  2. Step 2: Convert to fraction form
    3,626.96/5,442.24 = 1,680.53/x
  3. Step 3: Cross multiply
    3,626.96x = 5,442.24 × 1,680.53
  4. Step 4: Simplify right side
    3,626.96x = 9,145,847.59
  5. Step 5: Solve for x
    x = 9,145,847.59/3,626.96
  6. Step 6: Final answer
    x = 2,521.63

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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.