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Finding the Fourth Proportional to 3,684.42, 5,523.86 and 2,223.22

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Solution

The fourth proportional to 3,684.42, 5,523.86 and 2,223.22 is: 3,333.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.42 : 5,523.86 = 2,223.22 : x
  2. Step 2: Convert to fraction form
    3,684.42/5,523.86 = 2,223.22/x
  3. Step 3: Cross multiply
    3,684.42x = 5,523.86 × 2,223.22
  4. Step 4: Simplify right side
    3,684.42x = 12,280,756.03
  5. Step 5: Solve for x
    x = 12,280,756.03/3,684.42
  6. Step 6: Final answer
    x = 3,333.16

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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.