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Finding the Fourth Proportional to 3,682.07, 5,522.98 and 1,216.83

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Solution

The fourth proportional to 3,682.07, 5,522.98 and 1,216.83 is: 1,825.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.07 : 5,522.98 = 1,216.83 : x
  2. Step 2: Convert to fraction form
    3,682.07/5,522.98 = 1,216.83/x
  3. Step 3: Cross multiply
    3,682.07x = 5,522.98 × 1,216.83
  4. Step 4: Simplify right side
    3,682.07x = 6,720,527.75
  5. Step 5: Solve for x
    x = 6,720,527.75/3,682.07
  6. Step 6: Final answer
    x = 1,825.20

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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.