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Finding the Fourth Proportional to 4,728.32, 6,524 and 2,738.16

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Solution

The fourth proportional to 4,728.32, 6,524 and 2,738.16 is: 3,778.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728.32 : 6,524 = 2,738.16 : x
  2. Step 2: Convert to fraction form
    4,728.32/6,524 = 2,738.16/x
  3. Step 3: Cross multiply
    4,728.32x = 6,524 × 2,738.16
  4. Step 4: Simplify right side
    4,728.32x = 17,863,755.84
  5. Step 5: Solve for x
    x = 17,863,755.84/4,728.32
  6. Step 6: Final answer
    x = 3,778.03

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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.