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Finding the Fourth Proportional to 3,273.80, 4,900.14 and 2,287.82

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Solution

The fourth proportional to 3,273.80, 4,900.14 and 2,287.82 is: 3,424.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,273.80 : 4,900.14 = 2,287.82 : x
  2. Step 2: Convert to fraction form
    3,273.80/4,900.14 = 2,287.82/x
  3. Step 3: Cross multiply
    3,273.80x = 4,900.14 × 2,287.82
  4. Step 4: Simplify right side
    3,273.80x = 11,210,613.79
  5. Step 5: Solve for x
    x = 11,210,613.79/3,273.80
  6. Step 6: Final answer
    x = 3,424.35

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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.