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Finding the Fourth Proportional to 5,131.92, 7,082.02 and 2,774.06

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Solution

The fourth proportional to 5,131.92, 7,082.02 and 2,774.06 is: 3,828.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,131.92 : 7,082.02 = 2,774.06 : x
  2. Step 2: Convert to fraction form
    5,131.92/7,082.02 = 2,774.06/x
  3. Step 3: Cross multiply
    5,131.92x = 7,082.02 × 2,774.06
  4. Step 4: Simplify right side
    5,131.92x = 19,645,948.40
  5. Step 5: Solve for x
    x = 19,645,948.40/5,131.92
  6. Step 6: Final answer
    x = 3,828.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.