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Finding the Fourth Proportional to 5,144.95, 7,715.44 and 1,634.23

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Solution

The fourth proportional to 5,144.95, 7,715.44 and 1,634.23 is: 2,450.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.95 : 7,715.44 = 1,634.23 : x
  2. Step 2: Convert to fraction form
    5,144.95/7,715.44 = 1,634.23/x
  3. Step 3: Cross multiply
    5,144.95x = 7,715.44 × 1,634.23
  4. Step 4: Simplify right side
    5,144.95x = 12,608,803.51
  5. Step 5: Solve for x
    x = 12,608,803.51/5,144.95
  6. Step 6: Final answer
    x = 2,450.71

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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.