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Finding the Fourth Proportional to 5,203.97, 7,803.22 and 2,242.41

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Solution

The fourth proportional to 5,203.97, 7,803.22 and 2,242.41 is: 3,362.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.97 : 7,803.22 = 2,242.41 : x
  2. Step 2: Convert to fraction form
    5,203.97/7,803.22 = 2,242.41/x
  3. Step 3: Cross multiply
    5,203.97x = 7,803.22 × 2,242.41
  4. Step 4: Simplify right side
    5,203.97x = 17,498,018.56
  5. Step 5: Solve for x
    x = 17,498,018.56/5,203.97
  6. Step 6: Final answer
    x = 3,362.44

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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.