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Finding the Fourth Proportional to 3,857.22, 5,780.52 and 2,004.66

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Solution

The fourth proportional to 3,857.22, 5,780.52 and 2,004.66 is: 3,004.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.22 : 5,780.52 = 2,004.66 : x
  2. Step 2: Convert to fraction form
    3,857.22/5,780.52 = 2,004.66/x
  3. Step 3: Cross multiply
    3,857.22x = 5,780.52 × 2,004.66
  4. Step 4: Simplify right side
    3,857.22x = 11,587,977.22
  5. Step 5: Solve for x
    x = 11,587,977.22/3,857.22
  6. Step 6: Final answer
    x = 3,004.23

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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.