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Finding the Fourth Proportional to 3,757.54, 5,184.93 and 2,163.46

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Solution

The fourth proportional to 3,757.54, 5,184.93 and 2,163.46 is: 2,985.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.54 : 5,184.93 = 2,163.46 : x
  2. Step 2: Convert to fraction form
    3,757.54/5,184.93 = 2,163.46/x
  3. Step 3: Cross multiply
    3,757.54x = 5,184.93 × 2,163.46
  4. Step 4: Simplify right side
    3,757.54x = 11,217,388.66
  5. Step 5: Solve for x
    x = 11,217,388.66/3,757.54
  6. Step 6: Final answer
    x = 2,985.30

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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.