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Finding the Fourth Proportional to 3,746.64, 5,169.78 and 2,174.43

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Solution

The fourth proportional to 3,746.64, 5,169.78 and 2,174.43 is: 3,000.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.64 : 5,169.78 = 2,174.43 : x
  2. Step 2: Convert to fraction form
    3,746.64/5,169.78 = 2,174.43/x
  3. Step 3: Cross multiply
    3,746.64x = 5,169.78 × 2,174.43
  4. Step 4: Simplify right side
    3,746.64x = 11,241,324.73
  5. Step 5: Solve for x
    x = 11,241,324.73/3,746.64
  6. Step 6: Final answer
    x = 3,000.37

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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.