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Finding the Fourth Proportional to 5,946.04, 8,206 and 3,293.70

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Solution

The fourth proportional to 5,946.04, 8,206 and 3,293.70 is: 4,545.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.04 : 8,206 = 3,293.70 : x
  2. Step 2: Convert to fraction form
    5,946.04/8,206 = 3,293.70/x
  3. Step 3: Cross multiply
    5,946.04x = 8,206 × 3,293.70
  4. Step 4: Simplify right side
    5,946.04x = 27,028,102.20
  5. Step 5: Solve for x
    x = 27,028,102.20/5,946.04
  6. Step 6: Final answer
    x = 4,545.56

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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.