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Finding the Fourth Proportional to 3,740.81, 5,162.25 and 2,062.21

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Solution

The fourth proportional to 3,740.81, 5,162.25 and 2,062.21 is: 2,845.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.81 : 5,162.25 = 2,062.21 : x
  2. Step 2: Convert to fraction form
    3,740.81/5,162.25 = 2,062.21/x
  3. Step 3: Cross multiply
    3,740.81x = 5,162.25 × 2,062.21
  4. Step 4: Simplify right side
    3,740.81x = 10,645,630.67
  5. Step 5: Solve for x
    x = 10,645,630.67/3,740.81
  6. Step 6: Final answer
    x = 2,845.81

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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.