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Finding the Fourth Proportional to 3,740.92, 5,162.26 and 2,062.32

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Solution

The fourth proportional to 3,740.92, 5,162.26 and 2,062.32 is: 2,845.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.92 : 5,162.26 = 2,062.32 : x
  2. Step 2: Convert to fraction form
    3,740.92/5,162.26 = 2,062.32/x
  3. Step 3: Cross multiply
    3,740.92x = 5,162.26 × 2,062.32
  4. Step 4: Simplify right side
    3,740.92x = 10,646,223.02
  5. Step 5: Solve for x
    x = 10,646,223.02/3,740.92
  6. Step 6: Final answer
    x = 2,845.89

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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.