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Finding the Fourth Proportional to 5,836.86, 8,054.58 and 3,184.26

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Solution

The fourth proportional to 5,836.86, 8,054.58 and 3,184.26 is: 4,394.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.86 : 8,054.58 = 3,184.26 : x
  2. Step 2: Convert to fraction form
    5,836.86/8,054.58 = 3,184.26/x
  3. Step 3: Cross multiply
    5,836.86x = 8,054.58 × 3,184.26
  4. Step 4: Simplify right side
    5,836.86x = 25,647,876.91
  5. Step 5: Solve for x
    x = 25,647,876.91/5,836.86
  6. Step 6: Final answer
    x = 4,394.12

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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.