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Finding the Fourth Proportional to 3,905.69, 5,389.47 and 2,227.01

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Solution

The fourth proportional to 3,905.69, 5,389.47 and 2,227.01 is: 3,073.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.69 : 5,389.47 = 2,227.01 : x
  2. Step 2: Convert to fraction form
    3,905.69/5,389.47 = 2,227.01/x
  3. Step 3: Cross multiply
    3,905.69x = 5,389.47 × 2,227.01
  4. Step 4: Simplify right side
    3,905.69x = 12,002,376.64
  5. Step 5: Solve for x
    x = 12,002,376.64/3,905.69
  6. Step 6: Final answer
    x = 3,073.05

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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.