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Finding the Fourth Proportional to 3,221.71, 4,468.53 and 3,090.49

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Solution

The fourth proportional to 3,221.71, 4,468.53 and 3,090.49 is: 4,286.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.71 : 4,468.53 = 3,090.49 : x
  2. Step 2: Convert to fraction form
    3,221.71/4,468.53 = 3,090.49/x
  3. Step 3: Cross multiply
    3,221.71x = 4,468.53 × 3,090.49
  4. Step 4: Simplify right side
    3,221.71x = 13,809,947.70
  5. Step 5: Solve for x
    x = 13,809,947.70/3,221.71
  6. Step 6: Final answer
    x = 4,286.53

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.