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Finding the Fourth Proportional to 5,826.40, 8,741.39 and 3,489.04

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Solution

The fourth proportional to 5,826.40, 8,741.39 and 3,489.04 is: 5,234.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826.40 : 8,741.39 = 3,489.04 : x
  2. Step 2: Convert to fraction form
    5,826.40/8,741.39 = 3,489.04/x
  3. Step 3: Cross multiply
    5,826.40x = 8,741.39 × 3,489.04
  4. Step 4: Simplify right side
    5,826.40x = 30,499,059.37
  5. Step 5: Solve for x
    x = 30,499,059.37/5,826.40
  6. Step 6: Final answer
    x = 5,234.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.