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Finding the Fourth Proportional to 4,733.49, 7,089.89 and 3,902.43

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Solution

The fourth proportional to 4,733.49, 7,089.89 and 3,902.43 is: 5,845.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733.49 : 7,089.89 = 3,902.43 : x
  2. Step 2: Convert to fraction form
    4,733.49/7,089.89 = 3,902.43/x
  3. Step 3: Cross multiply
    4,733.49x = 7,089.89 × 3,902.43
  4. Step 4: Simplify right side
    4,733.49x = 27,667,799.43
  5. Step 5: Solve for x
    x = 27,667,799.43/4,733.49
  6. Step 6: Final answer
    x = 5,845.12

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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.