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Finding the Fourth Proportional to 4,231.31, 5,833.08 and 2,968.45

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Solution

The fourth proportional to 4,231.31, 5,833.08 and 2,968.45 is: 4,092.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,231.31 : 5,833.08 = 2,968.45 : x
  2. Step 2: Convert to fraction form
    4,231.31/5,833.08 = 2,968.45/x
  3. Step 3: Cross multiply
    4,231.31x = 5,833.08 × 2,968.45
  4. Step 4: Simplify right side
    4,231.31x = 17,315,191.74
  5. Step 5: Solve for x
    x = 17,315,191.74/4,231.31
  6. Step 6: Final answer
    x = 4,092.16

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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.