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Finding the Fourth Proportional to 3,388.29, 5,082.91 and 1,048.49

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Solution

The fourth proportional to 3,388.29, 5,082.91 and 1,048.49 is: 1,572.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,388.29 : 5,082.91 = 1,048.49 : x
  2. Step 2: Convert to fraction form
    3,388.29/5,082.91 = 1,048.49/x
  3. Step 3: Cross multiply
    3,388.29x = 5,082.91 × 1,048.49
  4. Step 4: Simplify right side
    3,388.29x = 5,329,371.33
  5. Step 5: Solve for x
    x = 5,329,371.33/3,388.29
  6. Step 6: Final answer
    x = 1,572.88

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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.