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Finding the Fourth Proportional to 4,640.62, 6,410.19 and 3,459.64

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Solution

The fourth proportional to 4,640.62, 6,410.19 and 3,459.64 is: 4,778.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.62 : 6,410.19 = 3,459.64 : x
  2. Step 2: Convert to fraction form
    4,640.62/6,410.19 = 3,459.64/x
  3. Step 3: Cross multiply
    4,640.62x = 6,410.19 × 3,459.64
  4. Step 4: Simplify right side
    4,640.62x = 22,176,949.73
  5. Step 5: Solve for x
    x = 22,176,949.73/4,640.62
  6. Step 6: Final answer
    x = 4,778.88

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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.