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Finding the Fourth Proportional to 3,761.12, 5,643.30 and 1,813.10

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Solution

The fourth proportional to 3,761.12, 5,643.30 and 1,813.10 is: 2,720.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.12 : 5,643.30 = 1,813.10 : x
  2. Step 2: Convert to fraction form
    3,761.12/5,643.30 = 1,813.10/x
  3. Step 3: Cross multiply
    3,761.12x = 5,643.30 × 1,813.10
  4. Step 4: Simplify right side
    3,761.12x = 10,231,867.23
  5. Step 5: Solve for x
    x = 10,231,867.23/3,761.12
  6. Step 6: Final answer
    x = 2,720.43

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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.