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Finding the Fourth Proportional to 3,744.83, 5,171.20 and 2,330.94

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Solution

The fourth proportional to 3,744.83, 5,171.20 and 2,330.94 is: 3,218.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.83 : 5,171.20 = 2,330.94 : x
  2. Step 2: Convert to fraction form
    3,744.83/5,171.20 = 2,330.94/x
  3. Step 3: Cross multiply
    3,744.83x = 5,171.20 × 2,330.94
  4. Step 4: Simplify right side
    3,744.83x = 12,053,770.49
  5. Step 5: Solve for x
    x = 12,053,770.49/3,744.83
  6. Step 6: Final answer
    x = 3,218.77

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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.