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Finding the Fourth Proportional to 4,738.96, 7,093.86 and 4,039.12

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Solution

The fourth proportional to 4,738.96, 7,093.86 and 4,039.12 is: 6,046.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.96 : 7,093.86 = 4,039.12 : x
  2. Step 2: Convert to fraction form
    4,738.96/7,093.86 = 4,039.12/x
  3. Step 3: Cross multiply
    4,738.96x = 7,093.86 × 4,039.12
  4. Step 4: Simplify right side
    4,738.96x = 28,652,951.80
  5. Step 5: Solve for x
    x = 28,652,951.80/4,738.96
  6. Step 6: Final answer
    x = 6,046.25

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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.