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Finding the Fourth Proportional to 4,834.78, 7,253.37 and 1,372

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Solution

The fourth proportional to 4,834.78, 7,253.37 and 1,372 is: 2,058.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,834.78 : 7,253.37 = 1,372 : x
  2. Step 2: Convert to fraction form
    4,834.78/7,253.37 = 1,372/x
  3. Step 3: Cross multiply
    4,834.78x = 7,253.37 × 1,372
  4. Step 4: Simplify right side
    4,834.78x = 9,951,623.64
  5. Step 5: Solve for x
    x = 9,951,623.64/4,834.78
  6. Step 6: Final answer
    x = 2,058.34

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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.