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Finding the Fourth Proportional to 3,290.71, 4,542.20 and 2,296.33

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Solution

The fourth proportional to 3,290.71, 4,542.20 and 2,296.33 is: 3,169.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.71 : 4,542.20 = 2,296.33 : x
  2. Step 2: Convert to fraction form
    3,290.71/4,542.20 = 2,296.33/x
  3. Step 3: Cross multiply
    3,290.71x = 4,542.20 × 2,296.33
  4. Step 4: Simplify right side
    3,290.71x = 10,430,390.13
  5. Step 5: Solve for x
    x = 10,430,390.13/3,290.71
  6. Step 6: Final answer
    x = 3,169.65

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