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Finding the Fourth Proportional to 5,736.94, 7,917.35 and 3,219.20

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Solution

The fourth proportional to 5,736.94, 7,917.35 and 3,219.20 is: 4,442.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.94 : 7,917.35 = 3,219.20 : x
  2. Step 2: Convert to fraction form
    5,736.94/7,917.35 = 3,219.20/x
  3. Step 3: Cross multiply
    5,736.94x = 7,917.35 × 3,219.20
  4. Step 4: Simplify right side
    5,736.94x = 25,487,533.12
  5. Step 5: Solve for x
    x = 25,487,533.12/5,736.94
  6. Step 6: Final answer
    x = 4,442.71

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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.