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Finding the Fourth Proportional to 5,131.97, 7,082.09 and 2,774.10

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Solution

The fourth proportional to 5,131.97, 7,082.09 and 2,774.10 is: 3,828.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,131.97 : 7,082.09 = 2,774.10 : x
  2. Step 2: Convert to fraction form
    5,131.97/7,082.09 = 2,774.10/x
  3. Step 3: Cross multiply
    5,131.97x = 7,082.09 × 2,774.10
  4. Step 4: Simplify right side
    5,131.97x = 19,646,422.40
  5. Step 5: Solve for x
    x = 19,646,422.40/5,131.97
  6. Step 6: Final answer
    x = 3,828.25

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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.