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Finding the Fourth Proportional to 4,105.80, 6,142.08 and 3,174.24

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Solution

The fourth proportional to 4,105.80, 6,142.08 and 3,174.24 is: 4,748.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105.80 : 6,142.08 = 3,174.24 : x
  2. Step 2: Convert to fraction form
    4,105.80/6,142.08 = 3,174.24/x
  3. Step 3: Cross multiply
    4,105.80x = 6,142.08 × 3,174.24
  4. Step 4: Simplify right side
    4,105.80x = 19,496,436.02
  5. Step 5: Solve for x
    x = 19,496,436.02/4,105.80
  6. Step 6: Final answer
    x = 4,748.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.