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Finding the Fourth Proportional to 3,679.07, 5,518.48 and 1,213.83

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Solution

The fourth proportional to 3,679.07, 5,518.48 and 1,213.83 is: 1,820.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.07 : 5,518.48 = 1,213.83 : x
  2. Step 2: Convert to fraction form
    3,679.07/5,518.48 = 1,213.83/x
  3. Step 3: Cross multiply
    3,679.07x = 5,518.48 × 1,213.83
  4. Step 4: Simplify right side
    3,679.07x = 6,698,496.58
  5. Step 5: Solve for x
    x = 6,698,496.58/3,679.07
  6. Step 6: Final answer
    x = 1,820.70

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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.