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Finding the Fourth Proportional to 4,761.80, 7,142.98 and 1,840.12

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Solution

The fourth proportional to 4,761.80, 7,142.98 and 1,840.12 is: 2,760.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.80 : 7,142.98 = 1,840.12 : x
  2. Step 2: Convert to fraction form
    4,761.80/7,142.98 = 1,840.12/x
  3. Step 3: Cross multiply
    4,761.80x = 7,142.98 × 1,840.12
  4. Step 4: Simplify right side
    4,761.80x = 13,143,940.36
  5. Step 5: Solve for x
    x = 13,143,940.36/4,761.80
  6. Step 6: Final answer
    x = 2,760.29

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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.