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Finding the Fourth Proportional to 3,466.44, 5,197.08 and 1,616.52

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Solution

The fourth proportional to 3,466.44, 5,197.08 and 1,616.52 is: 2,423.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.44 : 5,197.08 = 1,616.52 : x
  2. Step 2: Convert to fraction form
    3,466.44/5,197.08 = 1,616.52/x
  3. Step 3: Cross multiply
    3,466.44x = 5,197.08 × 1,616.52
  4. Step 4: Simplify right side
    3,466.44x = 8,401,183.76
  5. Step 5: Solve for x
    x = 8,401,183.76/3,466.44
  6. Step 6: Final answer
    x = 2,423.58

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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.