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Finding the Fourth Proportional to 5,735.88, 7,936.38 and 5,039.28

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Solution

The fourth proportional to 5,735.88, 7,936.38 and 5,039.28 is: 6,972.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.88 : 7,936.38 = 5,039.28 : x
  2. Step 2: Convert to fraction form
    5,735.88/7,936.38 = 5,039.28/x
  3. Step 3: Cross multiply
    5,735.88x = 7,936.38 × 5,039.28
  4. Step 4: Simplify right side
    5,735.88x = 39,993,641.01
  5. Step 5: Solve for x
    x = 39,993,641.01/5,735.88
  6. Step 6: Final answer
    x = 6,972.54

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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.