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Finding the Fourth Proportional to 3,584.88, 4,944.98 and 2,256.27

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Solution

The fourth proportional to 3,584.88, 4,944.98 and 2,256.27 is: 3,112.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.88 : 4,944.98 = 2,256.27 : x
  2. Step 2: Convert to fraction form
    3,584.88/4,944.98 = 2,256.27/x
  3. Step 3: Cross multiply
    3,584.88x = 4,944.98 × 2,256.27
  4. Step 4: Simplify right side
    3,584.88x = 11,157,228.03
  5. Step 5: Solve for x
    x = 11,157,228.03/3,584.88
  6. Step 6: Final answer
    x = 3,112.31

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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.