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Finding the Fourth Proportional to 3,817.44, 5,726.52 and 1,184.97

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Solution

The fourth proportional to 3,817.44, 5,726.52 and 1,184.97 is: 1,777.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.44 : 5,726.52 = 1,184.97 : x
  2. Step 2: Convert to fraction form
    3,817.44/5,726.52 = 1,184.97/x
  3. Step 3: Cross multiply
    3,817.44x = 5,726.52 × 1,184.97
  4. Step 4: Simplify right side
    3,817.44x = 6,785,754.40
  5. Step 5: Solve for x
    x = 6,785,754.40/3,817.44
  6. Step 6: Final answer
    x = 1,777.57

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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.