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Finding the Fourth Proportional to 5,826.41, 8,694.83 and 5,203.61

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Solution

The fourth proportional to 5,826.41, 8,694.83 and 5,203.61 is: 7,765.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826.41 : 8,694.83 = 5,203.61 : x
  2. Step 2: Convert to fraction form
    5,826.41/8,694.83 = 5,203.61/x
  3. Step 3: Cross multiply
    5,826.41x = 8,694.83 × 5,203.61
  4. Step 4: Simplify right side
    5,826.41x = 45,244,504.34
  5. Step 5: Solve for x
    x = 45,244,504.34/5,826.41
  6. Step 6: Final answer
    x = 7,765.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.