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Finding the Fourth Proportional to 5,093.49, 7,640.24 and 1,395.75

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Solution

The fourth proportional to 5,093.49, 7,640.24 and 1,395.75 is: 2,093.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,093.49 : 7,640.24 = 1,395.75 : x
  2. Step 2: Convert to fraction form
    5,093.49/7,640.24 = 1,395.75/x
  3. Step 3: Cross multiply
    5,093.49x = 7,640.24 × 1,395.75
  4. Step 4: Simplify right side
    5,093.49x = 10,663,864.98
  5. Step 5: Solve for x
    x = 10,663,864.98/5,093.49
  6. Step 6: Final answer
    x = 2,093.63

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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.