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Finding the Fourth Proportional to 3,840.54, 5,321.34 and 3,757.50

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Solution

The fourth proportional to 3,840.54, 5,321.34 and 3,757.50 is: 5,206.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.54 : 5,321.34 = 3,757.50 : x
  2. Step 2: Convert to fraction form
    3,840.54/5,321.34 = 3,757.50/x
  3. Step 3: Cross multiply
    3,840.54x = 5,321.34 × 3,757.50
  4. Step 4: Simplify right side
    3,840.54x = 19,994,935.05
  5. Step 5: Solve for x
    x = 19,994,935.05/3,840.54
  6. Step 6: Final answer
    x = 5,206.28

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.