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Finding the Fourth Proportional to 4,630.62, 6,389.06 and 3,449.64

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Solution

The fourth proportional to 4,630.62, 6,389.06 and 3,449.64 is: 4,759.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.62 : 6,389.06 = 3,449.64 : x
  2. Step 2: Convert to fraction form
    4,630.62/6,389.06 = 3,449.64/x
  3. Step 3: Cross multiply
    4,630.62x = 6,389.06 × 3,449.64
  4. Step 4: Simplify right side
    4,630.62x = 22,039,956.94
  5. Step 5: Solve for x
    x = 22,039,956.94/4,630.62
  6. Step 6: Final answer
    x = 4,759.61

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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.