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Finding the Fourth Proportional to 3,388.91, 5,082.55 and 923.74

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Solution

The fourth proportional to 3,388.91, 5,082.55 and 923.74 is: 1,385.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,388.91 : 5,082.55 = 923.74 : x
  2. Step 2: Convert to fraction form
    3,388.91/5,082.55 = 923.74/x
  3. Step 3: Cross multiply
    3,388.91x = 5,082.55 × 923.74
  4. Step 4: Simplify right side
    3,388.91x = 4,694,954.74
  5. Step 5: Solve for x
    x = 4,694,954.74/3,388.91
  6. Step 6: Final answer
    x = 1,385.39

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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.