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Finding the Fourth Proportional to 3,419.66, 5,128.23 and 1,227.80

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Solution

The fourth proportional to 3,419.66, 5,128.23 and 1,227.80 is: 1,841.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.66 : 5,128.23 = 1,227.80 : x
  2. Step 2: Convert to fraction form
    3,419.66/5,128.23 = 1,227.80/x
  3. Step 3: Cross multiply
    3,419.66x = 5,128.23 × 1,227.80
  4. Step 4: Simplify right side
    3,419.66x = 6,296,440.79
  5. Step 5: Solve for x
    x = 6,296,440.79/3,419.66
  6. Step 6: Final answer
    x = 1,841.25

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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.