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Finding the Fourth Proportional to 5,191.26, 7,784.98 and 4,082.84

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Solution

The fourth proportional to 5,191.26, 7,784.98 and 4,082.84 is: 6,122.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.26 : 7,784.98 = 4,082.84 : x
  2. Step 2: Convert to fraction form
    5,191.26/7,784.98 = 4,082.84/x
  3. Step 3: Cross multiply
    5,191.26x = 7,784.98 × 4,082.84
  4. Step 4: Simplify right side
    5,191.26x = 31,784,827.74
  5. Step 5: Solve for x
    x = 31,784,827.74/5,191.26
  6. Step 6: Final answer
    x = 6,122.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.