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Finding the Fourth Proportional to 5,200.56, 7,803.84 and 2,603.52

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Solution

The fourth proportional to 5,200.56, 7,803.84 and 2,603.52 is: 3,906.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.56 : 7,803.84 = 2,603.52 : x
  2. Step 2: Convert to fraction form
    5,200.56/7,803.84 = 2,603.52/x
  3. Step 3: Cross multiply
    5,200.56x = 7,803.84 × 2,603.52
  4. Step 4: Simplify right side
    5,200.56x = 20,317,453.52
  5. Step 5: Solve for x
    x = 20,317,453.52/5,200.56
  6. Step 6: Final answer
    x = 3,906.78

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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.