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Finding the Fourth Proportional to 4,660.00, 6,990 and 3,194.71

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Solution

The fourth proportional to 4,660.00, 6,990 and 3,194.71 is: 4,792.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.00 : 6,990 = 3,194.71 : x
  2. Step 2: Convert to fraction form
    4,660.00/6,990 = 3,194.71/x
  3. Step 3: Cross multiply
    4,660.00x = 6,990 × 3,194.71
  4. Step 4: Simplify right side
    4,660.00x = 22,331,005.43
  5. Step 5: Solve for x
    x = 22,331,005.43/4,660.00
  6. Step 6: Final answer
    x = 4,792.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.