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Finding the Fourth Proportional to 3,680.63, 5,524.42 and 1,342.90

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Solution

The fourth proportional to 3,680.63, 5,524.42 and 1,342.90 is: 2,015.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,680.63 : 5,524.42 = 1,342.90 : x
  2. Step 2: Convert to fraction form
    3,680.63/5,524.42 = 1,342.90/x
  3. Step 3: Cross multiply
    3,680.63x = 5,524.42 × 1,342.90
  4. Step 4: Simplify right side
    3,680.63x = 7,418,743.62
  5. Step 5: Solve for x
    x = 7,418,743.62/3,680.63
  6. Step 6: Final answer
    x = 2,015.62

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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.