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Finding the Fourth Proportional to 5,224.12, 7,837.94 and 1,937.49

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Solution

The fourth proportional to 5,224.12, 7,837.94 and 1,937.49 is: 2,906.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.12 : 7,837.94 = 1,937.49 : x
  2. Step 2: Convert to fraction form
    5,224.12/7,837.94 = 1,937.49/x
  3. Step 3: Cross multiply
    5,224.12x = 7,837.94 × 1,937.49
  4. Step 4: Simplify right side
    5,224.12x = 15,185,930.37
  5. Step 5: Solve for x
    x = 15,185,930.37/5,224.12
  6. Step 6: Final answer
    x = 2,906.89

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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.