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Finding the Fourth Proportional to 3,754.94, 5,633.62 and 1,806.88

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Solution

The fourth proportional to 3,754.94, 5,633.62 and 1,806.88 is: 2,710.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.94 : 5,633.62 = 1,806.88 : x
  2. Step 2: Convert to fraction form
    3,754.94/5,633.62 = 1,806.88/x
  3. Step 3: Cross multiply
    3,754.94x = 5,633.62 × 1,806.88
  4. Step 4: Simplify right side
    3,754.94x = 10,179,275.31
  5. Step 5: Solve for x
    x = 10,179,275.31/3,754.94
  6. Step 6: Final answer
    x = 2,710.90

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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.