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Finding the Fourth Proportional to 4,014.06, 6,016.98 and 1,415.22

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Solution

The fourth proportional to 4,014.06, 6,016.98 and 1,415.22 is: 2,121.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,014.06 : 6,016.98 = 1,415.22 : x
  2. Step 2: Convert to fraction form
    4,014.06/6,016.98 = 1,415.22/x
  3. Step 3: Cross multiply
    4,014.06x = 6,016.98 × 1,415.22
  4. Step 4: Simplify right side
    4,014.06x = 8,515,350.44
  5. Step 5: Solve for x
    x = 8,515,350.44/4,014.06
  6. Step 6: Final answer
    x = 2,121.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.