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Finding the Fourth Proportional to 3,746.80, 5,169.42 and 2,174.60

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Solution

The fourth proportional to 3,746.80, 5,169.42 and 2,174.60 is: 3,000.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.80 : 5,169.42 = 2,174.60 : x
  2. Step 2: Convert to fraction form
    3,746.80/5,169.42 = 2,174.60/x
  3. Step 3: Cross multiply
    3,746.80x = 5,169.42 × 2,174.60
  4. Step 4: Simplify right side
    3,746.80x = 11,241,420.73
  5. Step 5: Solve for x
    x = 11,241,420.73/3,746.80
  6. Step 6: Final answer
    x = 3,000.27

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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.