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Finding the Fourth Proportional to 3,682.48, 5,522.46 and 1,216.72

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Solution

The fourth proportional to 3,682.48, 5,522.46 and 1,216.72 is: 1,824.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.48 : 5,522.46 = 1,216.72 : x
  2. Step 2: Convert to fraction form
    3,682.48/5,522.46 = 1,216.72/x
  3. Step 3: Cross multiply
    3,682.48x = 5,522.46 × 1,216.72
  4. Step 4: Simplify right side
    3,682.48x = 6,719,287.53
  5. Step 5: Solve for x
    x = 6,719,287.53/3,682.48
  6. Step 6: Final answer
    x = 1,824.66

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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.