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Finding the Fourth Proportional to 5,933.85, 8,902.83 and 2,237.14

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Solution

The fourth proportional to 5,933.85, 8,902.83 and 2,237.14 is: 3,356.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,933.85 : 8,902.83 = 2,237.14 : x
  2. Step 2: Convert to fraction form
    5,933.85/8,902.83 = 2,237.14/x
  3. Step 3: Cross multiply
    5,933.85x = 8,902.83 × 2,237.14
  4. Step 4: Simplify right side
    5,933.85x = 19,916,896.62
  5. Step 5: Solve for x
    x = 19,916,896.62/5,933.85
  6. Step 6: Final answer
    x = 3,356.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.