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Finding the Fourth Proportional to 3,967.11, 5,946.08 and 2,649.29

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Solution

The fourth proportional to 3,967.11, 5,946.08 and 2,649.29 is: 3,970.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.11 : 5,946.08 = 2,649.29 : x
  2. Step 2: Convert to fraction form
    3,967.11/5,946.08 = 2,649.29/x
  3. Step 3: Cross multiply
    3,967.11x = 5,946.08 × 2,649.29
  4. Step 4: Simplify right side
    3,967.11x = 15,752,847.31
  5. Step 5: Solve for x
    x = 15,752,847.31/3,967.11
  6. Step 6: Final answer
    x = 3,970.86

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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.