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Finding the Fourth Proportional to 3,947.64, 5,448.54 and 2,270.22

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Solution

The fourth proportional to 3,947.64, 5,448.54 and 2,270.22 is: 3,133.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.64 : 5,448.54 = 2,270.22 : x
  2. Step 2: Convert to fraction form
    3,947.64/5,448.54 = 2,270.22/x
  3. Step 3: Cross multiply
    3,947.64x = 5,448.54 × 2,270.22
  4. Step 4: Simplify right side
    3,947.64x = 12,369,384.48
  5. Step 5: Solve for x
    x = 12,369,384.48/3,947.64
  6. Step 6: Final answer
    x = 3,133.36

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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.