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Finding the Fourth Proportional to 3,406.89, 4,699.98 and 2,227.80

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Solution

The fourth proportional to 3,406.89, 4,699.98 and 2,227.80 is: 3,073.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.89 : 4,699.98 = 2,227.80 : x
  2. Step 2: Convert to fraction form
    3,406.89/4,699.98 = 2,227.80/x
  3. Step 3: Cross multiply
    3,406.89x = 4,699.98 × 2,227.80
  4. Step 4: Simplify right side
    3,406.89x = 10,470,615.44
  5. Step 5: Solve for x
    x = 10,470,615.44/3,406.89
  6. Step 6: Final answer
    x = 3,073.36

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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.