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Finding the Fourth Proportional to 3,814.71, 5,718.14 and 2,167.74

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Solution

The fourth proportional to 3,814.71, 5,718.14 and 2,167.74 is: 3,249.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.71 : 5,718.14 = 2,167.74 : x
  2. Step 2: Convert to fraction form
    3,814.71/5,718.14 = 2,167.74/x
  3. Step 3: Cross multiply
    3,814.71x = 5,718.14 × 2,167.74
  4. Step 4: Simplify right side
    3,814.71x = 12,395,440.80
  5. Step 5: Solve for x
    x = 12,395,440.80/3,814.71
  6. Step 6: Final answer
    x = 3,249.38

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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.