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Finding the Fourth Proportional to 3,204.10, 4,802.10 and 2,855.80

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Solution

The fourth proportional to 3,204.10, 4,802.10 and 2,855.80 is: 4,280.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.10 : 4,802.10 = 2,855.80 : x
  2. Step 2: Convert to fraction form
    3,204.10/4,802.10 = 2,855.80/x
  3. Step 3: Cross multiply
    3,204.10x = 4,802.10 × 2,855.80
  4. Step 4: Simplify right side
    3,204.10x = 13,713,837.18
  5. Step 5: Solve for x
    x = 13,713,837.18/3,204.10
  6. Step 6: Final answer
    x = 4,280.09

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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.