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Finding the Fourth Proportional to 3,905.34, 5,389.09 and 2,227.02

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Solution

The fourth proportional to 3,905.34, 5,389.09 and 2,227.02 is: 3,073.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.34 : 5,389.09 = 2,227.02 : x
  2. Step 2: Convert to fraction form
    3,905.34/5,389.09 = 2,227.02/x
  3. Step 3: Cross multiply
    3,905.34x = 5,389.09 × 2,227.02
  4. Step 4: Simplify right side
    3,905.34x = 12,001,611.21
  5. Step 5: Solve for x
    x = 12,001,611.21/3,905.34
  6. Step 6: Final answer
    x = 3,073.13

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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.