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Finding the Fourth Proportional to 4,542.68, 6,268.50 and 2,864.12

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Solution

The fourth proportional to 4,542.68, 6,268.50 and 2,864.12 is: 3,952.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542.68 : 6,268.50 = 2,864.12 : x
  2. Step 2: Convert to fraction form
    4,542.68/6,268.50 = 2,864.12/x
  3. Step 3: Cross multiply
    4,542.68x = 6,268.50 × 2,864.12
  4. Step 4: Simplify right side
    4,542.68x = 17,953,736.22
  5. Step 5: Solve for x
    x = 17,953,736.22/4,542.68
  6. Step 6: Final answer
    x = 3,952.23

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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.