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Finding the Fourth Proportional to 3,906.24, 5,384.56 and 2,910

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Solution

The fourth proportional to 3,906.24, 5,384.56 and 2,910 is: 4,011.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.24 : 5,384.56 = 2,910 : x
  2. Step 2: Convert to fraction form
    3,906.24/5,384.56 = 2,910/x
  3. Step 3: Cross multiply
    3,906.24x = 5,384.56 × 2,910
  4. Step 4: Simplify right side
    3,906.24x = 15,669,069.60
  5. Step 5: Solve for x
    x = 15,669,069.60/3,906.24
  6. Step 6: Final answer
    x = 4,011.29

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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.