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Finding the Fourth Proportional to 3,620.97, 5,432.07 and 1,540.99

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Solution

The fourth proportional to 3,620.97, 5,432.07 and 1,540.99 is: 2,311.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,620.97 : 5,432.07 = 1,540.99 : x
  2. Step 2: Convert to fraction form
    3,620.97/5,432.07 = 1,540.99/x
  3. Step 3: Cross multiply
    3,620.97x = 5,432.07 × 1,540.99
  4. Step 4: Simplify right side
    3,620.97x = 8,370,765.55
  5. Step 5: Solve for x
    x = 8,370,765.55/3,620.97
  6. Step 6: Final answer
    x = 2,311.75

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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.