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Finding the Fourth Proportional to 6,101.94, 8,420.22 and 3,584.16

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Solution

The fourth proportional to 6,101.94, 8,420.22 and 3,584.16 is: 4,945.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.94 : 8,420.22 = 3,584.16 : x
  2. Step 2: Convert to fraction form
    6,101.94/8,420.22 = 3,584.16/x
  3. Step 3: Cross multiply
    6,101.94x = 8,420.22 × 3,584.16
  4. Step 4: Simplify right side
    6,101.94x = 30,179,415.72
  5. Step 5: Solve for x
    x = 30,179,415.72/6,101.94
  6. Step 6: Final answer
    x = 4,945.87

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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.