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Finding the Fourth Proportional to 6,099.05, 8,419.01 and 3,975.10

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Solution

The fourth proportional to 6,099.05, 8,419.01 and 3,975.10 is: 5,487.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099.05 : 8,419.01 = 3,975.10 : x
  2. Step 2: Convert to fraction form
    6,099.05/8,419.01 = 3,975.10/x
  3. Step 3: Cross multiply
    6,099.05x = 8,419.01 × 3,975.10
  4. Step 4: Simplify right side
    6,099.05x = 33,466,403.43
  5. Step 5: Solve for x
    x = 33,466,403.43/6,099.05
  6. Step 6: Final answer
    x = 5,487.15

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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.