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Finding the Fourth Proportional to 3,578.82, 4,937.42 and 2,319.44

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Solution

The fourth proportional to 3,578.82, 4,937.42 and 2,319.44 is: 3,199.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.82 : 4,937.42 = 2,319.44 : x
  2. Step 2: Convert to fraction form
    3,578.82/4,937.42 = 2,319.44/x
  3. Step 3: Cross multiply
    3,578.82x = 4,937.42 × 2,319.44
  4. Step 4: Simplify right side
    3,578.82x = 11,452,049.44
  5. Step 5: Solve for x
    x = 11,452,049.44/3,578.82
  6. Step 6: Final answer
    x = 3,199.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.