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Finding the Fourth Proportional to 4,173.12, 5,754.24 and 3,654.72

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Solution

The fourth proportional to 4,173.12, 5,754.24 and 3,654.72 is: 5,039.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,173.12 : 5,754.24 = 3,654.72 : x
  2. Step 2: Convert to fraction form
    4,173.12/5,754.24 = 3,654.72/x
  3. Step 3: Cross multiply
    4,173.12x = 5,754.24 × 3,654.72
  4. Step 4: Simplify right side
    4,173.12x = 21,030,136.01
  5. Step 5: Solve for x
    x = 21,030,136.01/4,173.12
  6. Step 6: Final answer
    x = 5,039.43

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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.