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Finding the Fourth Proportional to 3,311.91, 4,568.94 and 2,649.69

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Solution

The fourth proportional to 3,311.91, 4,568.94 and 2,649.69 is: 3,655.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.91 : 4,568.94 = 2,649.69 : x
  2. Step 2: Convert to fraction form
    3,311.91/4,568.94 = 2,649.69/x
  3. Step 3: Cross multiply
    3,311.91x = 4,568.94 × 2,649.69
  4. Step 4: Simplify right side
    3,311.91x = 12,106,274.63
  5. Step 5: Solve for x
    x = 12,106,274.63/3,311.91
  6. Step 6: Final answer
    x = 3,655.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.