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Finding the Fourth Proportional to 6,098.01, 8,410.89 and 3,969.62

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Solution

The fourth proportional to 6,098.01, 8,410.89 and 3,969.62 is: 5,475.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.01 : 8,410.89 = 3,969.62 : x
  2. Step 2: Convert to fraction form
    6,098.01/8,410.89 = 3,969.62/x
  3. Step 3: Cross multiply
    6,098.01x = 8,410.89 × 3,969.62
  4. Step 4: Simplify right side
    6,098.01x = 33,388,037.16
  5. Step 5: Solve for x
    x = 33,388,037.16/6,098.01
  6. Step 6: Final answer
    x = 5,475.23

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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.