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Finding the Fourth Proportional to 5,327.44, 7,352.56 and 3,840.28

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Solution

The fourth proportional to 5,327.44, 7,352.56 and 3,840.28 is: 5,300.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,327.44 : 7,352.56 = 3,840.28 : x
  2. Step 2: Convert to fraction form
    5,327.44/7,352.56 = 3,840.28/x
  3. Step 3: Cross multiply
    5,327.44x = 7,352.56 × 3,840.28
  4. Step 4: Simplify right side
    5,327.44x = 28,235,889.12
  5. Step 5: Solve for x
    x = 28,235,889.12/5,327.44
  6. Step 6: Final answer
    x = 5,300.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.