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Finding the Fourth Proportional to 3,410.81, 5,116.22 and 2,256.29

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Solution

The fourth proportional to 3,410.81, 5,116.22 and 2,256.29 is: 3,384.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.81 : 5,116.22 = 2,256.29 : x
  2. Step 2: Convert to fraction form
    3,410.81/5,116.22 = 2,256.29/x
  3. Step 3: Cross multiply
    3,410.81x = 5,116.22 × 2,256.29
  4. Step 4: Simplify right side
    3,410.81x = 11,543,664.74
  5. Step 5: Solve for x
    x = 11,543,664.74/3,410.81
  6. Step 6: Final answer
    x = 3,384.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.