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Finding the Fourth Proportional to 3,352.90, 5,022.64 and 1,599.61

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Solution

The fourth proportional to 3,352.90, 5,022.64 and 1,599.61 is: 2,396.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,352.90 : 5,022.64 = 1,599.61 : x
  2. Step 2: Convert to fraction form
    3,352.90/5,022.64 = 1,599.61/x
  3. Step 3: Cross multiply
    3,352.90x = 5,022.64 × 1,599.61
  4. Step 4: Simplify right side
    3,352.90x = 8,034,265.17
  5. Step 5: Solve for x
    x = 8,034,265.17/3,352.90
  6. Step 6: Final answer
    x = 2,396.21

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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.