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Finding the Fourth Proportional to 5,215.65, 7,826.31 and 3,025.95

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Solution

The fourth proportional to 5,215.65, 7,826.31 and 3,025.95 is: 4,540.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.65 : 7,826.31 = 3,025.95 : x
  2. Step 2: Convert to fraction form
    5,215.65/7,826.31 = 3,025.95/x
  3. Step 3: Cross multiply
    5,215.65x = 7,826.31 × 3,025.95
  4. Step 4: Simplify right side
    5,215.65x = 23,682,022.74
  5. Step 5: Solve for x
    x = 23,682,022.74/5,215.65
  6. Step 6: Final answer
    x = 4,540.57

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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.