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Finding the Fourth Proportional to 3,740.95, 5,162.54 and 2,062.42

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Solution

The fourth proportional to 3,740.95, 5,162.54 and 2,062.42 is: 2,846.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.95 : 5,162.54 = 2,062.42 : x
  2. Step 2: Convert to fraction form
    3,740.95/5,162.54 = 2,062.42/x
  3. Step 3: Cross multiply
    3,740.95x = 5,162.54 × 2,062.42
  4. Step 4: Simplify right side
    3,740.95x = 10,647,325.75
  5. Step 5: Solve for x
    x = 10,647,325.75/3,740.95
  6. Step 6: Final answer
    x = 2,846.16

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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.