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Finding the Fourth Proportional to 4,694.92, 7,051.98 and 3,965.80

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Solution

The fourth proportional to 4,694.92, 7,051.98 and 3,965.80 is: 5,956.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.92 : 7,051.98 = 3,965.80 : x
  2. Step 2: Convert to fraction form
    4,694.92/7,051.98 = 3,965.80/x
  3. Step 3: Cross multiply
    4,694.92x = 7,051.98 × 3,965.80
  4. Step 4: Simplify right side
    4,694.92x = 27,966,742.28
  5. Step 5: Solve for x
    x = 27,966,742.28/4,694.92
  6. Step 6: Final answer
    x = 5,956.81

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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.