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Finding the Fourth Proportional to 5,238.20, 7,850.33 and 3,845.00

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Solution

The fourth proportional to 5,238.20, 7,850.33 and 3,845.00 is: 5,762.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.20 : 7,850.33 = 3,845.00 : x
  2. Step 2: Convert to fraction form
    5,238.20/7,850.33 = 3,845.00/x
  3. Step 3: Cross multiply
    5,238.20x = 7,850.33 × 3,845.00
  4. Step 4: Simplify right side
    5,238.20x = 30,184,460.37
  5. Step 5: Solve for x
    x = 30,184,460.37/5,238.20
  6. Step 6: Final answer
    x = 5,762.38

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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.