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Finding the Fourth Proportional to 5,827.73, 8,042.91 and 3,589.16

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Solution

The fourth proportional to 5,827.73, 8,042.91 and 3,589.16 is: 4,953.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.73 : 8,042.91 = 3,589.16 : x
  2. Step 2: Convert to fraction form
    5,827.73/8,042.91 = 3,589.16/x
  3. Step 3: Cross multiply
    5,827.73x = 8,042.91 × 3,589.16
  4. Step 4: Simplify right side
    5,827.73x = 28,867,290.86
  5. Step 5: Solve for x
    x = 28,867,290.86/5,827.73
  6. Step 6: Final answer
    x = 4,953.44

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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.