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Finding the Fourth Proportional to 3,449.16, 5,169.96 and 1,599.72

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Solution

The fourth proportional to 3,449.16, 5,169.96 and 1,599.72 is: 2,397.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.16 : 5,169.96 = 1,599.72 : x
  2. Step 2: Convert to fraction form
    3,449.16/5,169.96 = 1,599.72/x
  3. Step 3: Cross multiply
    3,449.16x = 5,169.96 × 1,599.72
  4. Step 4: Simplify right side
    3,449.16x = 8,270,488.41
  5. Step 5: Solve for x
    x = 8,270,488.41/3,449.16
  6. Step 6: Final answer
    x = 2,397.83

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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.