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Finding the Fourth Proportional to 3,768.46, 5,200.10 and 2,174.82

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Solution

The fourth proportional to 3,768.46, 5,200.10 and 2,174.82 is: 3,001.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.46 : 5,200.10 = 2,174.82 : x
  2. Step 2: Convert to fraction form
    3,768.46/5,200.10 = 2,174.82/x
  3. Step 3: Cross multiply
    3,768.46x = 5,200.10 × 2,174.82
  4. Step 4: Simplify right side
    3,768.46x = 11,309,259.26
  5. Step 5: Solve for x
    x = 11,309,259.26/3,768.46
  6. Step 6: Final answer
    x = 3,001.03

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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.