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Finding the Fourth Proportional to 5,983.85, 8,249.16 and 4,209.95

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Solution

The fourth proportional to 5,983.85, 8,249.16 and 4,209.95 is: 5,803.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,983.85 : 8,249.16 = 4,209.95 : x
  2. Step 2: Convert to fraction form
    5,983.85/8,249.16 = 4,209.95/x
  3. Step 3: Cross multiply
    5,983.85x = 8,249.16 × 4,209.95
  4. Step 4: Simplify right side
    5,983.85x = 34,728,551.14
  5. Step 5: Solve for x
    x = 34,728,551.14/5,983.85
  6. Step 6: Final answer
    x = 5,803.71

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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.