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Finding the Fourth Proportional to 4,002.56, 6,004.44 and 1,922.17

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Solution

The fourth proportional to 4,002.56, 6,004.44 and 1,922.17 is: 2,883.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.56 : 6,004.44 = 1,922.17 : x
  2. Step 2: Convert to fraction form
    4,002.56/6,004.44 = 1,922.17/x
  3. Step 3: Cross multiply
    4,002.56x = 6,004.44 × 1,922.17
  4. Step 4: Simplify right side
    4,002.56x = 11,541,554.43
  5. Step 5: Solve for x
    x = 11,541,554.43/4,002.56
  6. Step 6: Final answer
    x = 2,883.54

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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.