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Finding the Fourth Proportional to 4,199.26, 6,298.05 and 3,991.10

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Solution

The fourth proportional to 4,199.26, 6,298.05 and 3,991.10 is: 5,985.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.26 : 6,298.05 = 3,991.10 : x
  2. Step 2: Convert to fraction form
    4,199.26/6,298.05 = 3,991.10/x
  3. Step 3: Cross multiply
    4,199.26x = 6,298.05 × 3,991.10
  4. Step 4: Simplify right side
    4,199.26x = 25,136,147.36
  5. Step 5: Solve for x
    x = 25,136,147.36/4,199.26
  6. Step 6: Final answer
    x = 5,985.85

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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.