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Finding the Fourth Proportional to 4,480.56, 6,166.26 and 4,014

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Solution

The fourth proportional to 4,480.56, 6,166.26 and 4,014 is: 5,524.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,480.56 : 6,166.26 = 4,014 : x
  2. Step 2: Convert to fraction form
    4,480.56/6,166.26 = 4,014/x
  3. Step 3: Cross multiply
    4,480.56x = 6,166.26 × 4,014
  4. Step 4: Simplify right side
    4,480.56x = 24,751,367.64
  5. Step 5: Solve for x
    x = 24,751,367.64/4,480.56
  6. Step 6: Final answer
    x = 5,524.17

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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.