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Finding the Fourth Proportional to 4,728.41, 7,085.97 and 3,736.86

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Solution

The fourth proportional to 4,728.41, 7,085.97 and 3,736.86 is: 5,600.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728.41 : 7,085.97 = 3,736.86 : x
  2. Step 2: Convert to fraction form
    4,728.41/7,085.97 = 3,736.86/x
  3. Step 3: Cross multiply
    4,728.41x = 7,085.97 × 3,736.86
  4. Step 4: Simplify right side
    4,728.41x = 26,479,273.18
  5. Step 5: Solve for x
    x = 26,479,273.18/4,728.41
  6. Step 6: Final answer
    x = 5,600.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.