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Finding the Fourth Proportional to 3,858.72, 5,792.13 and 2,128.56

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Solution

The fourth proportional to 3,858.72, 5,792.13 and 2,128.56 is: 3,195.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.72 : 5,792.13 = 2,128.56 : x
  2. Step 2: Convert to fraction form
    3,858.72/5,792.13 = 2,128.56/x
  3. Step 3: Cross multiply
    3,858.72x = 5,792.13 × 2,128.56
  4. Step 4: Simplify right side
    3,858.72x = 12,328,896.23
  5. Step 5: Solve for x
    x = 12,328,896.23/3,858.72
  6. Step 6: Final answer
    x = 3,195.07

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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.