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Finding the Fourth Proportional to 3,287.16, 4,537.50 and 2,028.42

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Solution

The fourth proportional to 3,287.16, 4,537.50 and 2,028.42 is: 2,799.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.16 : 4,537.50 = 2,028.42 : x
  2. Step 2: Convert to fraction form
    3,287.16/4,537.50 = 2,028.42/x
  3. Step 3: Cross multiply
    3,287.16x = 4,537.50 × 2,028.42
  4. Step 4: Simplify right side
    3,287.16x = 9,203,955.75
  5. Step 5: Solve for x
    x = 9,203,955.75/3,287.16
  6. Step 6: Final answer
    x = 2,799.97

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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.