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Finding the Fourth Proportional to 3,678.90, 5,519.03 and 1,213.89

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Solution

The fourth proportional to 3,678.90, 5,519.03 and 1,213.89 is: 1,821.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.90 : 5,519.03 = 1,213.89 : x
  2. Step 2: Convert to fraction form
    3,678.90/5,519.03 = 1,213.89/x
  3. Step 3: Cross multiply
    3,678.90x = 5,519.03 × 1,213.89
  4. Step 4: Simplify right side
    3,678.90x = 6,699,512.16
  5. Step 5: Solve for x
    x = 6,699,512.16/3,678.90
  6. Step 6: Final answer
    x = 1,821.06

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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.