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Finding the Fourth Proportional to 3,966.84, 5,950.26 and 1,659.96

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Solution

The fourth proportional to 3,966.84, 5,950.26 and 1,659.96 is: 2,489.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.84 : 5,950.26 = 1,659.96 : x
  2. Step 2: Convert to fraction form
    3,966.84/5,950.26 = 1,659.96/x
  3. Step 3: Cross multiply
    3,966.84x = 5,950.26 × 1,659.96
  4. Step 4: Simplify right side
    3,966.84x = 9,877,193.59
  5. Step 5: Solve for x
    x = 9,877,193.59/3,966.84
  6. Step 6: Final answer
    x = 2,489.94

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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.