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Finding the Fourth Proportional to 4,099.08, 6,148.68 and 3,899.88

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Solution

The fourth proportional to 4,099.08, 6,148.68 and 3,899.88 is: 5,849.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.08 : 6,148.68 = 3,899.88 : x
  2. Step 2: Convert to fraction form
    4,099.08/6,148.68 = 3,899.88/x
  3. Step 3: Cross multiply
    4,099.08x = 6,148.68 × 3,899.88
  4. Step 4: Simplify right side
    4,099.08x = 23,979,114.16
  5. Step 5: Solve for x
    x = 23,979,114.16/4,099.08
  6. Step 6: Final answer
    x = 5,849.88

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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.