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Finding the Fourth Proportional to 4,660.01, 6,990 and 3,194.72

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Solution

The fourth proportional to 4,660.01, 6,990 and 3,194.72 is: 4,792.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.01 : 6,990 = 3,194.72 : x
  2. Step 2: Convert to fraction form
    4,660.01/6,990 = 3,194.72/x
  3. Step 3: Cross multiply
    4,660.01x = 6,990 × 3,194.72
  4. Step 4: Simplify right side
    4,660.01x = 22,331,057.85
  5. Step 5: Solve for x
    x = 22,331,057.85/4,660.01
  6. Step 6: Final answer
    x = 4,792.07

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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.