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Finding the Fourth Proportional to 3,816.92, 5,726.20 and 1,184.37

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Solution

The fourth proportional to 3,816.92, 5,726.20 and 1,184.37 is: 1,776.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.92 : 5,726.20 = 1,184.37 : x
  2. Step 2: Convert to fraction form
    3,816.92/5,726.20 = 1,184.37/x
  3. Step 3: Cross multiply
    3,816.92x = 5,726.20 × 1,184.37
  4. Step 4: Simplify right side
    3,816.92x = 6,781,939.49
  5. Step 5: Solve for x
    x = 6,781,939.49/3,816.92
  6. Step 6: Final answer
    x = 1,776.81

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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.