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Finding the Fourth Proportional to 3,405.49, 4,698.34 and 2,227.23

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Solution

The fourth proportional to 3,405.49, 4,698.34 and 2,227.23 is: 3,072.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.49 : 4,698.34 = 2,227.23 : x
  2. Step 2: Convert to fraction form
    3,405.49/4,698.34 = 2,227.23/x
  3. Step 3: Cross multiply
    3,405.49x = 4,698.34 × 2,227.23
  4. Step 4: Simplify right side
    3,405.49x = 10,464,278.23
  5. Step 5: Solve for x
    x = 10,464,278.23/3,405.49
  6. Step 6: Final answer
    x = 3,072.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.