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Finding the Fourth Proportional to 4,906.15, 6,765.87 and 3,785.32

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Solution

The fourth proportional to 4,906.15, 6,765.87 and 3,785.32 is: 5,220.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.15 : 6,765.87 = 3,785.32 : x
  2. Step 2: Convert to fraction form
    4,906.15/6,765.87 = 3,785.32/x
  3. Step 3: Cross multiply
    4,906.15x = 6,765.87 × 3,785.32
  4. Step 4: Simplify right side
    4,906.15x = 25,610,983.03
  5. Step 5: Solve for x
    x = 25,610,983.03/4,906.15
  6. Step 6: Final answer
    x = 5,220.18

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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.