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Finding the Fourth Proportional to 5,946.12, 8,204.84 and 3,293.17

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Solution

The fourth proportional to 5,946.12, 8,204.84 and 3,293.17 is: 4,544.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.12 : 8,204.84 = 3,293.17 : x
  2. Step 2: Convert to fraction form
    5,946.12/8,204.84 = 3,293.17/x
  3. Step 3: Cross multiply
    5,946.12x = 8,204.84 × 3,293.17
  4. Step 4: Simplify right side
    5,946.12x = 27,019,932.94
  5. Step 5: Solve for x
    x = 27,019,932.94/5,946.12
  6. Step 6: Final answer
    x = 4,544.13

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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.