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Finding the Fourth Proportional to 5,833.89, 8,051.04 and 3,181.46

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Solution

The fourth proportional to 5,833.89, 8,051.04 and 3,181.46 is: 4,390.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,833.89 : 8,051.04 = 3,181.46 : x
  2. Step 2: Convert to fraction form
    5,833.89/8,051.04 = 3,181.46/x
  3. Step 3: Cross multiply
    5,833.89x = 8,051.04 × 3,181.46
  4. Step 4: Simplify right side
    5,833.89x = 25,614,021.46
  5. Step 5: Solve for x
    x = 25,614,021.46/5,833.89
  6. Step 6: Final answer
    x = 4,390.56

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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.