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Finding the Fourth Proportional to 3,851.34, 5,772.72 and 2,204.28

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Solution

The fourth proportional to 3,851.34, 5,772.72 and 2,204.28 is: 3,303.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.34 : 5,772.72 = 2,204.28 : x
  2. Step 2: Convert to fraction form
    3,851.34/5,772.72 = 2,204.28/x
  3. Step 3: Cross multiply
    3,851.34x = 5,772.72 × 2,204.28
  4. Step 4: Simplify right side
    3,851.34x = 12,724,691.24
  5. Step 5: Solve for x
    x = 12,724,691.24/3,851.34
  6. Step 6: Final answer
    x = 3,303.96

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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.