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Finding the Fourth Proportional to 5,738.94, 7,919.28 and 3,220.74

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Solution

The fourth proportional to 5,738.94, 7,919.28 and 3,220.74 is: 4,444.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.94 : 7,919.28 = 3,220.74 : x
  2. Step 2: Convert to fraction form
    5,738.94/7,919.28 = 3,220.74/x
  3. Step 3: Cross multiply
    5,738.94x = 7,919.28 × 3,220.74
  4. Step 4: Simplify right side
    5,738.94x = 25,505,941.87
  5. Step 5: Solve for x
    x = 25,505,941.87/5,738.94
  6. Step 6: Final answer
    x = 4,444.36

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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.