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Finding the Fourth Proportional to 3,919, 5,396.23 and 3,605.53

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Solution

The fourth proportional to 3,919, 5,396.23 and 3,605.53 is: 4,964.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919 : 5,396.23 = 3,605.53 : x
  2. Step 2: Convert to fraction form
    3,919/5,396.23 = 3,605.53/x
  3. Step 3: Cross multiply
    3,919x = 5,396.23 × 3,605.53
  4. Step 4: Simplify right side
    3,919x = 19,456,269.15
  5. Step 5: Solve for x
    x = 19,456,269.15/3,919
  6. Step 6: Final answer
    x = 4,964.60

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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.