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Finding the Fourth Proportional to 3,818.55, 5,727.93 and 1,221.49

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Solution

The fourth proportional to 3,818.55, 5,727.93 and 1,221.49 is: 1,832.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818.55 : 5,727.93 = 1,221.49 : x
  2. Step 2: Convert to fraction form
    3,818.55/5,727.93 = 1,221.49/x
  3. Step 3: Cross multiply
    3,818.55x = 5,727.93 × 1,221.49
  4. Step 4: Simplify right side
    3,818.55x = 6,996,609.22
  5. Step 5: Solve for x
    x = 6,996,609.22/3,818.55
  6. Step 6: Final answer
    x = 1,832.27

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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.