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Finding the Fourth Proportional to 3,752.34, 5,174.73 and 2,968.26

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Solution

The fourth proportional to 3,752.34, 5,174.73 and 2,968.26 is: 4,093.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.34 : 5,174.73 = 2,968.26 : x
  2. Step 2: Convert to fraction form
    3,752.34/5,174.73 = 2,968.26/x
  3. Step 3: Cross multiply
    3,752.34x = 5,174.73 × 2,968.26
  4. Step 4: Simplify right side
    3,752.34x = 15,359,944.07
  5. Step 5: Solve for x
    x = 15,359,944.07/3,752.34
  6. Step 6: Final answer
    x = 4,093.43

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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.