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Finding the Fourth Proportional to 5,760.48, 7,949.02 and 3,402.17

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Solution

The fourth proportional to 5,760.48, 7,949.02 and 3,402.17 is: 4,694.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.48 : 7,949.02 = 3,402.17 : x
  2. Step 2: Convert to fraction form
    5,760.48/7,949.02 = 3,402.17/x
  3. Step 3: Cross multiply
    5,760.48x = 7,949.02 × 3,402.17
  4. Step 4: Simplify right side
    5,760.48x = 27,043,917.37
  5. Step 5: Solve for x
    x = 27,043,917.37/5,760.48
  6. Step 6: Final answer
    x = 4,694.73

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1.5x scale

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.