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Finding the Fourth Proportional to 3,857.67, 5,323.59 and 2,089.28

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Solution

The fourth proportional to 3,857.67, 5,323.59 and 2,089.28 is: 2,883.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.67 : 5,323.59 = 2,089.28 : x
  2. Step 2: Convert to fraction form
    3,857.67/5,323.59 = 2,089.28/x
  3. Step 3: Cross multiply
    3,857.67x = 5,323.59 × 2,089.28
  4. Step 4: Simplify right side
    3,857.67x = 11,122,470.12
  5. Step 5: Solve for x
    x = 11,122,470.12/3,857.67
  6. Step 6: Final answer
    x = 2,883.21

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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.