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Finding the Fourth Proportional to 4,926, 7,391.03 and 3,616.44

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Solution

The fourth proportional to 4,926, 7,391.03 and 3,616.44 is: 5,426.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,926 : 7,391.03 = 3,616.44 : x
  2. Step 2: Convert to fraction form
    4,926/7,391.03 = 3,616.44/x
  3. Step 3: Cross multiply
    4,926x = 7,391.03 × 3,616.44
  4. Step 4: Simplify right side
    4,926x = 26,729,198.45
  5. Step 5: Solve for x
    x = 26,729,198.45/4,926
  6. Step 6: Final answer
    x = 5,426.15

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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.