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Finding the Fourth Proportional to 3,747.34, 5,173.91 and 2,333.42

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Solution

The fourth proportional to 3,747.34, 5,173.91 and 2,333.42 is: 3,221.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.34 : 5,173.91 = 2,333.42 : x
  2. Step 2: Convert to fraction form
    3,747.34/5,173.91 = 2,333.42/x
  3. Step 3: Cross multiply
    3,747.34x = 5,173.91 × 2,333.42
  4. Step 4: Simplify right side
    3,747.34x = 12,072,905.07
  5. Step 5: Solve for x
    x = 12,072,905.07/3,747.34
  6. Step 6: Final answer
    x = 3,221.73

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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.