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Finding the Fourth Proportional to 5,054.22, 6,974.34 and 3,728.66

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Solution

The fourth proportional to 5,054.22, 6,974.34 and 3,728.66 is: 5,145.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,054.22 : 6,974.34 = 3,728.66 : x
  2. Step 2: Convert to fraction form
    5,054.22/6,974.34 = 3,728.66/x
  3. Step 3: Cross multiply
    5,054.22x = 6,974.34 × 3,728.66
  4. Step 4: Simplify right side
    5,054.22x = 26,004,942.58
  5. Step 5: Solve for x
    x = 26,004,942.58/5,054.22
  6. Step 6: Final answer
    x = 5,145.19

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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.