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Finding the Fourth Proportional to 5,192.88, 7,161.12 and 4,197.48

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Solution

The fourth proportional to 5,192.88, 7,161.12 and 4,197.48 is: 5,788.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.88 : 7,161.12 = 4,197.48 : x
  2. Step 2: Convert to fraction form
    5,192.88/7,161.12 = 4,197.48/x
  3. Step 3: Cross multiply
    5,192.88x = 7,161.12 × 4,197.48
  4. Step 4: Simplify right side
    5,192.88x = 30,058,657.98
  5. Step 5: Solve for x
    x = 30,058,657.98/5,192.88
  6. Step 6: Final answer
    x = 5,788.44

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