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Finding the Fourth Proportional to 4,694.91, 6,478.89 and 2,599.04

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Solution

The fourth proportional to 4,694.91, 6,478.89 and 2,599.04 is: 3,586.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.91 : 6,478.89 = 2,599.04 : x
  2. Step 2: Convert to fraction form
    4,694.91/6,478.89 = 2,599.04/x
  3. Step 3: Cross multiply
    4,694.91x = 6,478.89 × 2,599.04
  4. Step 4: Simplify right side
    4,694.91x = 16,838,861.87
  5. Step 5: Solve for x
    x = 16,838,861.87/4,694.91
  6. Step 6: Final answer
    x = 3,586.62

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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.