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Finding the Fourth Proportional to 5,833.77, 8,050.77 and 3,181.23

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Solution

The fourth proportional to 5,833.77, 8,050.77 and 3,181.23 is: 4,390.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,833.77 : 8,050.77 = 3,181.23 : x
  2. Step 2: Convert to fraction form
    5,833.77/8,050.77 = 3,181.23/x
  3. Step 3: Cross multiply
    5,833.77x = 8,050.77 × 3,181.23
  4. Step 4: Simplify right side
    5,833.77x = 25,611,351.05
  5. Step 5: Solve for x
    x = 25,611,351.05/5,833.77
  6. Step 6: Final answer
    x = 4,390.19

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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.