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Finding the Fourth Proportional to 3,388.08, 5,082.07 and 922.87

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Solution

The fourth proportional to 3,388.08, 5,082.07 and 922.87 is: 1,384.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,388.08 : 5,082.07 = 922.87 : x
  2. Step 2: Convert to fraction form
    3,388.08/5,082.07 = 922.87/x
  3. Step 3: Cross multiply
    3,388.08x = 5,082.07 × 922.87
  4. Step 4: Simplify right side
    3,388.08x = 4,690,089.94
  5. Step 5: Solve for x
    x = 4,690,089.94/3,388.08
  6. Step 6: Final answer
    x = 1,384.29

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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.