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Finding the Fourth Proportional to 5,224.74, 7,839.40 and 1,937.12

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Solution

The fourth proportional to 5,224.74, 7,839.40 and 1,937.12 is: 2,906.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.74 : 7,839.40 = 1,937.12 : x
  2. Step 2: Convert to fraction form
    5,224.74/7,839.40 = 1,937.12/x
  3. Step 3: Cross multiply
    5,224.74x = 7,839.40 × 1,937.12
  4. Step 4: Simplify right side
    5,224.74x = 15,185,858.53
  5. Step 5: Solve for x
    x = 15,185,858.53/5,224.74
  6. Step 6: Final answer
    x = 2,906.53

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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.