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Finding the Fourth Proportional to 3,740.52, 5,162.04 and 2,062

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Solution

The fourth proportional to 3,740.52, 5,162.04 and 2,062 is: 2,845.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.52 : 5,162.04 = 2,062 : x
  2. Step 2: Convert to fraction form
    3,740.52/5,162.04 = 2,062/x
  3. Step 3: Cross multiply
    3,740.52x = 5,162.04 × 2,062
  4. Step 4: Simplify right side
    3,740.52x = 10,644,126.48
  5. Step 5: Solve for x
    x = 10,644,126.48/3,740.52
  6. Step 6: Final answer
    x = 2,845.63

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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.