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Finding the Fourth Proportional to 3,678.80, 5,505.47 and 2,272.64

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Solution

The fourth proportional to 3,678.80, 5,505.47 and 2,272.64 is: 3,401.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.80 : 5,505.47 = 2,272.64 : x
  2. Step 2: Convert to fraction form
    3,678.80/5,505.47 = 2,272.64/x
  3. Step 3: Cross multiply
    3,678.80x = 5,505.47 × 2,272.64
  4. Step 4: Simplify right side
    3,678.80x = 12,511,951.34
  5. Step 5: Solve for x
    x = 12,511,951.34/3,678.80
  6. Step 6: Final answer
    x = 3,401.10

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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.