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Finding the Fourth Proportional to 6,057.32, 9,082.19 and 2,107.64

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Solution

The fourth proportional to 6,057.32, 9,082.19 and 2,107.64 is: 3,160.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.32 : 9,082.19 = 2,107.64 : x
  2. Step 2: Convert to fraction form
    6,057.32/9,082.19 = 2,107.64/x
  3. Step 3: Cross multiply
    6,057.32x = 9,082.19 × 2,107.64
  4. Step 4: Simplify right side
    6,057.32x = 19,142,014.91
  5. Step 5: Solve for x
    x = 19,142,014.91/6,057.32
  6. Step 6: Final answer
    x = 3,160.15

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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.