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Finding the Fourth Proportional to 5,294.78, 7,942.17 and 1,832.03

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Solution

The fourth proportional to 5,294.78, 7,942.17 and 1,832.03 is: 2,748.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.78 : 7,942.17 = 1,832.03 : x
  2. Step 2: Convert to fraction form
    5,294.78/7,942.17 = 1,832.03/x
  3. Step 3: Cross multiply
    5,294.78x = 7,942.17 × 1,832.03
  4. Step 4: Simplify right side
    5,294.78x = 14,550,318.14
  5. Step 5: Solve for x
    x = 14,550,318.14/5,294.78
  6. Step 6: Final answer
    x = 2,748.05

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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.