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Finding the Fourth Proportional to 3,198.56, 4,796.04 and 1,006.88

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Solution

The fourth proportional to 3,198.56, 4,796.04 and 1,006.88 is: 1,509.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.56 : 4,796.04 = 1,006.88 : x
  2. Step 2: Convert to fraction form
    3,198.56/4,796.04 = 1,006.88/x
  3. Step 3: Cross multiply
    3,198.56x = 4,796.04 × 1,006.88
  4. Step 4: Simplify right side
    3,198.56x = 4,829,036.76
  5. Step 5: Solve for x
    x = 4,829,036.76/3,198.56
  6. Step 6: Final answer
    x = 1,509.75

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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.