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Finding the Fourth Proportional to 4,663.84, 6,995.73 and 3,198.55

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Solution

The fourth proportional to 4,663.84, 6,995.73 and 3,198.55 is: 4,797.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.84 : 6,995.73 = 3,198.55 : x
  2. Step 2: Convert to fraction form
    4,663.84/6,995.73 = 3,198.55/x
  3. Step 3: Cross multiply
    4,663.84x = 6,995.73 × 3,198.55
  4. Step 4: Simplify right side
    4,663.84x = 22,376,192.19
  5. Step 5: Solve for x
    x = 22,376,192.19/4,663.84
  6. Step 6: Final answer
    x = 4,797.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.