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Finding the Fourth Proportional to 4,859.77, 6,709.72 and 3,738.73

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Solution

The fourth proportional to 4,859.77, 6,709.72 and 3,738.73 is: 5,161.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,859.77 : 6,709.72 = 3,738.73 : x
  2. Step 2: Convert to fraction form
    4,859.77/6,709.72 = 3,738.73/x
  3. Step 3: Cross multiply
    4,859.77x = 6,709.72 × 3,738.73
  4. Step 4: Simplify right side
    4,859.77x = 25,085,840.26
  5. Step 5: Solve for x
    x = 25,085,840.26/4,859.77
  6. Step 6: Final answer
    x = 5,161.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.