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Finding the Fourth Proportional to 4,173.53, 5,753.63 and 3,174.80

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Solution

The fourth proportional to 4,173.53, 5,753.63 and 3,174.80 is: 4,376.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,173.53 : 5,753.63 = 3,174.80 : x
  2. Step 2: Convert to fraction form
    4,173.53/5,753.63 = 3,174.80/x
  3. Step 3: Cross multiply
    4,173.53x = 5,753.63 × 3,174.80
  4. Step 4: Simplify right side
    4,173.53x = 18,266,603.69
  5. Step 5: Solve for x
    x = 18,266,603.69/4,173.53
  6. Step 6: Final answer
    x = 4,376.78

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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.