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Finding the Fourth Proportional to 4,662.21, 6,986.28 and 2,811.27

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Solution

The fourth proportional to 4,662.21, 6,986.28 and 2,811.27 is: 4,212.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.21 : 6,986.28 = 2,811.27 : x
  2. Step 2: Convert to fraction form
    4,662.21/6,986.28 = 2,811.27/x
  3. Step 3: Cross multiply
    4,662.21x = 6,986.28 × 2,811.27
  4. Step 4: Simplify right side
    4,662.21x = 19,640,319.38
  5. Step 5: Solve for x
    x = 19,640,319.38/4,662.21
  6. Step 6: Final answer
    x = 4,212.66

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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.