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Finding the Fourth Proportional to 5,196.32, 7,170.82 and 2,958.15

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Solution

The fourth proportional to 5,196.32, 7,170.82 and 2,958.15 is: 4,082.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.32 : 7,170.82 = 2,958.15 : x
  2. Step 2: Convert to fraction form
    5,196.32/7,170.82 = 2,958.15/x
  3. Step 3: Cross multiply
    5,196.32x = 7,170.82 × 2,958.15
  4. Step 4: Simplify right side
    5,196.32x = 21,212,353.79
  5. Step 5: Solve for x
    x = 21,212,353.79/5,196.32
  6. Step 6: Final answer
    x = 4,082.19

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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.