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Finding the Fourth Proportional to 5,196.13, 7,171.07 and 2,958.10

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Solution

The fourth proportional to 5,196.13, 7,171.07 and 2,958.10 is: 4,082.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.13 : 7,171.07 = 2,958.10 : x
  2. Step 2: Convert to fraction form
    5,196.13/7,171.07 = 2,958.10/x
  3. Step 3: Cross multiply
    5,196.13x = 7,171.07 × 2,958.10
  4. Step 4: Simplify right side
    5,196.13x = 21,212,709.45
  5. Step 5: Solve for x
    x = 21,212,709.45/5,196.13
  6. Step 6: Final answer
    x = 4,082.41

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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.