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Finding the Fourth Proportional to 4,761.57, 7,142.31 and 1,837.83

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Solution

The fourth proportional to 4,761.57, 7,142.31 and 1,837.83 is: 2,756.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.57 : 7,142.31 = 1,837.83 : x
  2. Step 2: Convert to fraction form
    4,761.57/7,142.31 = 1,837.83/x
  3. Step 3: Cross multiply
    4,761.57x = 7,142.31 × 1,837.83
  4. Step 4: Simplify right side
    4,761.57x = 13,126,351.59
  5. Step 5: Solve for x
    x = 13,126,351.59/4,761.57
  6. Step 6: Final answer
    x = 2,756.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.