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Finding the Fourth Proportional to 3,967.68, 5,950.29 and 2,742.96

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Solution

The fourth proportional to 3,967.68, 5,950.29 and 2,742.96 is: 4,113.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.68 : 5,950.29 = 2,742.96 : x
  2. Step 2: Convert to fraction form
    3,967.68/5,950.29 = 2,742.96/x
  3. Step 3: Cross multiply
    3,967.68x = 5,950.29 × 2,742.96
  4. Step 4: Simplify right side
    3,967.68x = 16,321,377.71
  5. Step 5: Solve for x
    x = 16,321,377.71/3,967.68
  6. Step 6: Final answer
    x = 4,113.59

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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.