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Finding the Fourth Proportional to 5,188.92, 7,770.72 and 2,725.80

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Solution

The fourth proportional to 5,188.92, 7,770.72 and 2,725.80 is: 4,082.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.92 : 7,770.72 = 2,725.80 : x
  2. Step 2: Convert to fraction form
    5,188.92/7,770.72 = 2,725.80/x
  3. Step 3: Cross multiply
    5,188.92x = 7,770.72 × 2,725.80
  4. Step 4: Simplify right side
    5,188.92x = 21,181,428.58
  5. Step 5: Solve for x
    x = 21,181,428.58/5,188.92
  6. Step 6: Final answer
    x = 4,082.05

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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.