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Finding the Fourth Proportional to 4,728.11, 6,524.28 and 2,738.27

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Solution

The fourth proportional to 4,728.11, 6,524.28 and 2,738.27 is: 3,778.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728.11 : 6,524.28 = 2,738.27 : x
  2. Step 2: Convert to fraction form
    4,728.11/6,524.28 = 2,738.27/x
  3. Step 3: Cross multiply
    4,728.11x = 6,524.28 × 2,738.27
  4. Step 4: Simplify right side
    4,728.11x = 17,865,256.51
  5. Step 5: Solve for x
    x = 17,865,256.51/4,728.11
  6. Step 6: Final answer
    x = 3,778.52

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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.