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Finding the Fourth Proportional to 5,224.95, 7,839.27 and 1,938.38

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Solution

The fourth proportional to 5,224.95, 7,839.27 and 1,938.38 is: 2,908.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.95 : 7,839.27 = 1,938.38 : x
  2. Step 2: Convert to fraction form
    5,224.95/7,839.27 = 1,938.38/x
  3. Step 3: Cross multiply
    5,224.95x = 7,839.27 × 1,938.38
  4. Step 4: Simplify right side
    5,224.95x = 15,195,444.99
  5. Step 5: Solve for x
    x = 15,195,444.99/5,224.95
  6. Step 6: Final answer
    x = 2,908.25

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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.