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Finding the Fourth Proportional to 5,946.12, 8,206.22 and 3,293.64

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Solution

The fourth proportional to 5,946.12, 8,206.22 and 3,293.64 is: 4,545.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.12 : 8,206.22 = 3,293.64 : x
  2. Step 2: Convert to fraction form
    5,946.12/8,206.22 = 3,293.64/x
  3. Step 3: Cross multiply
    5,946.12x = 8,206.22 × 3,293.64
  4. Step 4: Simplify right side
    5,946.12x = 27,028,334.44
  5. Step 5: Solve for x
    x = 27,028,334.44/5,946.12
  6. Step 6: Final answer
    x = 4,545.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.