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Finding the Fourth Proportional to 5,946.82, 8,198.60 and 5,103.88

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Solution

The fourth proportional to 5,946.82, 8,198.60 and 5,103.88 is: 7,036.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.82 : 8,198.60 = 5,103.88 : x
  2. Step 2: Convert to fraction form
    5,946.82/8,198.60 = 5,103.88/x
  3. Step 3: Cross multiply
    5,946.82x = 8,198.60 × 5,103.88
  4. Step 4: Simplify right side
    5,946.82x = 41,844,670.57
  5. Step 5: Solve for x
    x = 41,844,670.57/5,946.82
  6. Step 6: Final answer
    x = 7,036.48

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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.