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Finding the Fourth Proportional to 5,966.92, 8,965.50 and 3,776.68

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Solution

The fourth proportional to 5,966.92, 8,965.50 and 3,776.68 is: 5,674.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.92 : 8,965.50 = 3,776.68 : x
  2. Step 2: Convert to fraction form
    5,966.92/8,965.50 = 3,776.68/x
  3. Step 3: Cross multiply
    5,966.92x = 8,965.50 × 3,776.68
  4. Step 4: Simplify right side
    5,966.92x = 33,859,824.54
  5. Step 5: Solve for x
    x = 33,859,824.54/5,966.92
  6. Step 6: Final answer
    x = 5,674.59

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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.