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Finding the Fourth Proportional to 5,682.02, 7,840.68 and 3,198.02

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Solution

The fourth proportional to 5,682.02, 7,840.68 and 3,198.02 is: 4,412.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.02 : 7,840.68 = 3,198.02 : x
  2. Step 2: Convert to fraction form
    5,682.02/7,840.68 = 3,198.02/x
  3. Step 3: Cross multiply
    5,682.02x = 7,840.68 × 3,198.02
  4. Step 4: Simplify right side
    5,682.02x = 25,074,651.45
  5. Step 5: Solve for x
    x = 25,074,651.45/5,682.02
  6. Step 6: Final answer
    x = 4,412.98

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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.