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Finding the Fourth Proportional to 3,749.78, 5,174.43 and 2,178.02

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Solution

The fourth proportional to 3,749.78, 5,174.43 and 2,178.02 is: 3,005.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749.78 : 5,174.43 = 2,178.02 : x
  2. Step 2: Convert to fraction form
    3,749.78/5,174.43 = 2,178.02/x
  3. Step 3: Cross multiply
    3,749.78x = 5,174.43 × 2,178.02
  4. Step 4: Simplify right side
    3,749.78x = 11,270,012.03
  5. Step 5: Solve for x
    x = 11,270,012.03/3,749.78
  6. Step 6: Final answer
    x = 3,005.51

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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.