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Finding the Fourth Proportional to 3,818.52, 5,727.98 and 1,221.26

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Solution

The fourth proportional to 3,818.52, 5,727.98 and 1,221.26 is: 1,831.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818.52 : 5,727.98 = 1,221.26 : x
  2. Step 2: Convert to fraction form
    3,818.52/5,727.98 = 1,221.26/x
  3. Step 3: Cross multiply
    3,818.52x = 5,727.98 × 1,221.26
  4. Step 4: Simplify right side
    3,818.52x = 6,995,352.85
  5. Step 5: Solve for x
    x = 6,995,352.85/3,818.52
  6. Step 6: Final answer
    x = 1,831.95

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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.