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Finding the Fourth Proportional to 3,813.71, 5,716.64 and 2,166.74

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Solution

The fourth proportional to 3,813.71, 5,716.64 and 2,166.74 is: 3,247.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.71 : 5,716.64 = 2,166.74 : x
  2. Step 2: Convert to fraction form
    3,813.71/5,716.64 = 2,166.74/x
  3. Step 3: Cross multiply
    3,813.71x = 5,716.64 × 2,166.74
  4. Step 4: Simplify right side
    3,813.71x = 12,386,449.39
  5. Step 5: Solve for x
    x = 12,386,449.39/3,813.71
  6. Step 6: Final answer
    x = 3,247.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.