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Finding the Fourth Proportional to 5,196.65, 7,170.57 and 2,958.41

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Solution

The fourth proportional to 5,196.65, 7,170.57 and 2,958.41 is: 4,082.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.65 : 7,170.57 = 2,958.41 : x
  2. Step 2: Convert to fraction form
    5,196.65/7,170.57 = 2,958.41/x
  3. Step 3: Cross multiply
    5,196.65x = 7,170.57 × 2,958.41
  4. Step 4: Simplify right side
    5,196.65x = 21,213,450.14
  5. Step 5: Solve for x
    x = 21,213,450.14/5,196.65
  6. Step 6: Final answer
    x = 4,082.14

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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.