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Finding the Fourth Proportional to 5,203.37, 7,805.73 and 2,738.31

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Solution

The fourth proportional to 5,203.37, 7,805.73 and 2,738.31 is: 4,107.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.37 : 7,805.73 = 2,738.31 : x
  2. Step 2: Convert to fraction form
    5,203.37/7,805.73 = 2,738.31/x
  3. Step 3: Cross multiply
    5,203.37x = 7,805.73 × 2,738.31
  4. Step 4: Simplify right side
    5,203.37x = 21,374,508.52
  5. Step 5: Solve for x
    x = 21,374,508.52/5,203.37
  6. Step 6: Final answer
    x = 4,107.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.