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Finding the Fourth Proportional to 5,200.56, 7,803.91 and 2,735.57

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Solution

The fourth proportional to 5,200.56, 7,803.91 and 2,735.57 is: 4,104.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.56 : 7,803.91 = 2,735.57 : x
  2. Step 2: Convert to fraction form
    5,200.56/7,803.91 = 2,735.57/x
  3. Step 3: Cross multiply
    5,200.56x = 7,803.91 × 2,735.57
  4. Step 4: Simplify right side
    5,200.56x = 21,348,142.08
  5. Step 5: Solve for x
    x = 21,348,142.08/5,200.56
  6. Step 6: Final answer
    x = 4,104.97

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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.