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Finding the Fourth Proportional to 4,682.88, 7,022.70 and 2,081.16

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Solution

The fourth proportional to 4,682.88, 7,022.70 and 2,081.16 is: 3,121.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.88 : 7,022.70 = 2,081.16 : x
  2. Step 2: Convert to fraction form
    4,682.88/7,022.70 = 2,081.16/x
  3. Step 3: Cross multiply
    4,682.88x = 7,022.70 × 2,081.16
  4. Step 4: Simplify right side
    4,682.88x = 14,615,362.33
  5. Step 5: Solve for x
    x = 14,615,362.33/4,682.88
  6. Step 6: Final answer
    x = 3,121.02

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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.