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Finding the Fourth Proportional to 5,946.74, 8,206.18 and 3,293.99

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Solution

The fourth proportional to 5,946.74, 8,206.18 and 3,293.99 is: 4,545.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.74 : 8,206.18 = 3,293.99 : x
  2. Step 2: Convert to fraction form
    5,946.74/8,206.18 = 3,293.99/x
  3. Step 3: Cross multiply
    5,946.74x = 8,206.18 × 3,293.99
  4. Step 4: Simplify right side
    5,946.74x = 27,031,074.86
  5. Step 5: Solve for x
    x = 27,031,074.86/5,946.74
  6. Step 6: Final answer
    x = 4,545.53

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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.