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Finding the Fourth Proportional to 5,946.56, 8,206 and 3,294.08

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Solution

The fourth proportional to 5,946.56, 8,206 and 3,294.08 is: 4,545.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.56 : 8,206 = 3,294.08 : x
  2. Step 2: Convert to fraction form
    5,946.56/8,206 = 3,294.08/x
  3. Step 3: Cross multiply
    5,946.56x = 8,206 × 3,294.08
  4. Step 4: Simplify right side
    5,946.56x = 27,031,220.48
  5. Step 5: Solve for x
    x = 27,031,220.48/5,946.56
  6. Step 6: Final answer
    x = 4,545.69

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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.