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Finding the Fourth Proportional to 3,204.13, 4,805.62 and 864.29

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Solution

The fourth proportional to 3,204.13, 4,805.62 and 864.29 is: 1,296.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.13 : 4,805.62 = 864.29 : x
  2. Step 2: Convert to fraction form
    3,204.13/4,805.62 = 864.29/x
  3. Step 3: Cross multiply
    3,204.13x = 4,805.62 × 864.29
  4. Step 4: Simplify right side
    3,204.13x = 4,153,449.31
  5. Step 5: Solve for x
    x = 4,153,449.31/3,204.13
  6. Step 6: Final answer
    x = 1,296.28

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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.