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Finding the Fourth Proportional to 5,902.24, 8,853.84 and 2,203.84

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Solution

The fourth proportional to 5,902.24, 8,853.84 and 2,203.84 is: 3,305.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.24 : 8,853.84 = 2,203.84 : x
  2. Step 2: Convert to fraction form
    5,902.24/8,853.84 = 2,203.84/x
  3. Step 3: Cross multiply
    5,902.24x = 8,853.84 × 2,203.84
  4. Step 4: Simplify right side
    5,902.24x = 19,512,446.75
  5. Step 5: Solve for x
    x = 19,512,446.75/5,902.24
  6. Step 6: Final answer
    x = 3,305.94

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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.