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Finding the Fourth Proportional to 3,678.90, 5,518.73 and 1,213.73

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Solution

The fourth proportional to 3,678.90, 5,518.73 and 1,213.73 is: 1,820.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.90 : 5,518.73 = 1,213.73 : x
  2. Step 2: Convert to fraction form
    3,678.90/5,518.73 = 1,213.73/x
  3. Step 3: Cross multiply
    3,678.90x = 5,518.73 × 1,213.73
  4. Step 4: Simplify right side
    3,678.90x = 6,698,244.30
  5. Step 5: Solve for x
    x = 6,698,244.30/3,678.90
  6. Step 6: Final answer
    x = 1,820.72

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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.