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Finding the Fourth Proportional to 3,816.87, 5,726.19 and 1,184.24

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Solution

The fourth proportional to 3,816.87, 5,726.19 and 1,184.24 is: 1,776.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.87 : 5,726.19 = 1,184.24 : x
  2. Step 2: Convert to fraction form
    3,816.87/5,726.19 = 1,184.24/x
  3. Step 3: Cross multiply
    3,816.87x = 5,726.19 × 1,184.24
  4. Step 4: Simplify right side
    3,816.87x = 6,781,169.79
  5. Step 5: Solve for x
    x = 6,781,169.79/3,816.87
  6. Step 6: Final answer
    x = 1,776.63

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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.