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Finding the Fourth Proportional to 5,254.38, 7,250.94 and 2,896.47

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Solution

The fourth proportional to 5,254.38, 7,250.94 and 2,896.47 is: 3,997.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.38 : 7,250.94 = 2,896.47 : x
  2. Step 2: Convert to fraction form
    5,254.38/7,250.94 = 2,896.47/x
  3. Step 3: Cross multiply
    5,254.38x = 7,250.94 × 2,896.47
  4. Step 4: Simplify right side
    5,254.38x = 21,002,130.18
  5. Step 5: Solve for x
    x = 21,002,130.18/5,254.38
  6. Step 6: Final answer
    x = 3,997.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.