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Finding the Fourth Proportional to 3,682.85, 5,525.11 and 1,217.93

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Solution

The fourth proportional to 3,682.85, 5,525.11 and 1,217.93 is: 1,827.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.85 : 5,525.11 = 1,217.93 : x
  2. Step 2: Convert to fraction form
    3,682.85/5,525.11 = 1,217.93/x
  3. Step 3: Cross multiply
    3,682.85x = 5,525.11 × 1,217.93
  4. Step 4: Simplify right side
    3,682.85x = 6,729,212.56
  5. Step 5: Solve for x
    x = 6,729,212.56/3,682.85
  6. Step 6: Final answer
    x = 1,827.17

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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.