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Finding the Fourth Proportional to 5,826.96, 8,042.76 and 3,589.20

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Solution

The fourth proportional to 5,826.96, 8,042.76 and 3,589.20 is: 4,954.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826.96 : 8,042.76 = 3,589.20 : x
  2. Step 2: Convert to fraction form
    5,826.96/8,042.76 = 3,589.20/x
  3. Step 3: Cross multiply
    5,826.96x = 8,042.76 × 3,589.20
  4. Step 4: Simplify right side
    5,826.96x = 28,867,074.19
  5. Step 5: Solve for x
    x = 28,867,074.19/5,826.96
  6. Step 6: Final answer
    x = 4,954.05

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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.