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Finding the Fourth Proportional to 3,769.71, 5,202.41 and 2,444.55

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Solution

The fourth proportional to 3,769.71, 5,202.41 and 2,444.55 is: 3,373.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.71 : 5,202.41 = 2,444.55 : x
  2. Step 2: Convert to fraction form
    3,769.71/5,202.41 = 2,444.55/x
  3. Step 3: Cross multiply
    3,769.71x = 5,202.41 × 2,444.55
  4. Step 4: Simplify right side
    3,769.71x = 12,717,539.14
  5. Step 5: Solve for x
    x = 12,717,539.14/3,769.71
  6. Step 6: Final answer
    x = 3,373.61

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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.