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Finding the Fourth Proportional to 3,469.10, 5,206.08 and 3,162.92

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Solution

The fourth proportional to 3,469.10, 5,206.08 and 3,162.92 is: 4,746.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.10 : 5,206.08 = 3,162.92 : x
  2. Step 2: Convert to fraction form
    3,469.10/5,206.08 = 3,162.92/x
  3. Step 3: Cross multiply
    3,469.10x = 5,206.08 × 3,162.92
  4. Step 4: Simplify right side
    3,469.10x = 16,466,414.55
  5. Step 5: Solve for x
    x = 16,466,414.55/3,469.10
  6. Step 6: Final answer
    x = 4,746.60

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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.