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Finding the Fourth Proportional to 5,946.13, 8,198.92 and 3,822.00

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Solution

The fourth proportional to 5,946.13, 8,198.92 and 3,822.00 is: 5,270.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.13 : 8,198.92 = 3,822.00 : x
  2. Step 2: Convert to fraction form
    5,946.13/8,198.92 = 3,822.00/x
  3. Step 3: Cross multiply
    5,946.13x = 8,198.92 × 3,822.00
  4. Step 4: Simplify right side
    5,946.13x = 31,336,292.39
  5. Step 5: Solve for x
    x = 31,336,292.39/5,946.13
  6. Step 6: Final answer
    x = 5,270.04

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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.