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Finding the Fourth Proportional to 3,740.64, 5,162.22 and 2,062.14

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Solution

The fourth proportional to 3,740.64, 5,162.22 and 2,062.14 is: 2,845.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.64 : 5,162.22 = 2,062.14 : x
  2. Step 2: Convert to fraction form
    3,740.64/5,162.22 = 2,062.14/x
  3. Step 3: Cross multiply
    3,740.64x = 5,162.22 × 2,062.14
  4. Step 4: Simplify right side
    3,740.64x = 10,645,220.35
  5. Step 5: Solve for x
    x = 10,645,220.35/3,740.64
  6. Step 6: Final answer
    x = 2,845.83

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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.