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Finding the Fourth Proportional to 6,082.38, 9,122.94 and 2,133

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Solution

The fourth proportional to 6,082.38, 9,122.94 and 2,133 is: 3,199.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.38 : 9,122.94 = 2,133 : x
  2. Step 2: Convert to fraction form
    6,082.38/9,122.94 = 2,133/x
  3. Step 3: Cross multiply
    6,082.38x = 9,122.94 × 2,133
  4. Step 4: Simplify right side
    6,082.38x = 19,459,231.02
  5. Step 5: Solve for x
    x = 19,459,231.02/6,082.38
  6. Step 6: Final answer
    x = 3,199.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.