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Finding the Fourth Proportional to 4,231.31, 5,839.22 and 2,368.31

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Solution

The fourth proportional to 4,231.31, 5,839.22 and 2,368.31 is: 3,268.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,231.31 : 5,839.22 = 2,368.31 : x
  2. Step 2: Convert to fraction form
    4,231.31/5,839.22 = 2,368.31/x
  3. Step 3: Cross multiply
    4,231.31x = 5,839.22 × 2,368.31
  4. Step 4: Simplify right side
    4,231.31x = 13,829,085.87
  5. Step 5: Solve for x
    x = 13,829,085.87/4,231.31
  6. Step 6: Final answer
    x = 3,268.27

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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.