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Finding the Fourth Proportional to 4,422.94, 6,101.61 and 3,919.30

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Solution

The fourth proportional to 4,422.94, 6,101.61 and 3,919.30 is: 5,406.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,422.94 : 6,101.61 = 3,919.30 : x
  2. Step 2: Convert to fraction form
    4,422.94/6,101.61 = 3,919.30/x
  3. Step 3: Cross multiply
    4,422.94x = 6,101.61 × 3,919.30
  4. Step 4: Simplify right side
    4,422.94x = 23,914,040.07
  5. Step 5: Solve for x
    x = 23,914,040.07/4,422.94
  6. Step 6: Final answer
    x = 5,406.82

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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.