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Finding the Fourth Proportional to 6,082.05, 8,388.08 and 4,196.64

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Solution

The fourth proportional to 6,082.05, 8,388.08 and 4,196.64 is: 5,787.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.05 : 8,388.08 = 4,196.64 : x
  2. Step 2: Convert to fraction form
    6,082.05/8,388.08 = 4,196.64/x
  3. Step 3: Cross multiply
    6,082.05x = 8,388.08 × 4,196.64
  4. Step 4: Simplify right side
    6,082.05x = 35,201,731.07
  5. Step 5: Solve for x
    x = 35,201,731.07/6,082.05
  6. Step 6: Final answer
    x = 5,787.81

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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.