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Finding the Fourth Proportional to 3,471.36, 4,792 and 2,427.52

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Solution

The fourth proportional to 3,471.36, 4,792 and 2,427.52 is: 3,351.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.36 : 4,792 = 2,427.52 : x
  2. Step 2: Convert to fraction form
    3,471.36/4,792 = 2,427.52/x
  3. Step 3: Cross multiply
    3,471.36x = 4,792 × 2,427.52
  4. Step 4: Simplify right side
    3,471.36x = 11,632,675.84
  5. Step 5: Solve for x
    x = 11,632,675.84/3,471.36
  6. Step 6: Final answer
    x = 3,351.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.