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Finding the Fourth Proportional to 3,599.71, 4,974.02 and 2,819.68

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Solution

The fourth proportional to 3,599.71, 4,974.02 and 2,819.68 is: 3,896.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599.71 : 4,974.02 = 2,819.68 : x
  2. Step 2: Convert to fraction form
    3,599.71/4,974.02 = 2,819.68/x
  3. Step 3: Cross multiply
    3,599.71x = 4,974.02 × 2,819.68
  4. Step 4: Simplify right side
    3,599.71x = 14,025,130.62
  5. Step 5: Solve for x
    x = 14,025,130.62/3,599.71
  6. Step 6: Final answer
    x = 3,896.18

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Why These Related Problems?

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