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Finding the Fourth Proportional to 5,199.85, 7,176.27 and 4,082.86

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Solution

The fourth proportional to 5,199.85, 7,176.27 and 4,082.86 is: 5,634.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.85 : 7,176.27 = 4,082.86 : x
  2. Step 2: Convert to fraction form
    5,199.85/7,176.27 = 4,082.86/x
  3. Step 3: Cross multiply
    5,199.85x = 7,176.27 × 4,082.86
  4. Step 4: Simplify right side
    5,199.85x = 29,299,705.73
  5. Step 5: Solve for x
    x = 29,299,705.73/5,199.85
  6. Step 6: Final answer
    x = 5,634.72

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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.