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Finding the Fourth Proportional to 5,736.78, 7,917.35 and 3,219.57

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Solution

The fourth proportional to 5,736.78, 7,917.35 and 3,219.57 is: 4,443.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.78 : 7,917.35 = 3,219.57 : x
  2. Step 2: Convert to fraction form
    5,736.78/7,917.35 = 3,219.57/x
  3. Step 3: Cross multiply
    5,736.78x = 7,917.35 × 3,219.57
  4. Step 4: Simplify right side
    5,736.78x = 25,490,470.59
  5. Step 5: Solve for x
    x = 25,490,470.59/5,736.78
  6. Step 6: Final answer
    x = 4,443.34

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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.