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Finding the Fourth Proportional to 5,828.18, 8,745.92 and 3,881.75

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Solution

The fourth proportional to 5,828.18, 8,745.92 and 3,881.75 is: 5,825.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.18 : 8,745.92 = 3,881.75 : x
  2. Step 2: Convert to fraction form
    5,828.18/8,745.92 = 3,881.75/x
  3. Step 3: Cross multiply
    5,828.18x = 8,745.92 × 3,881.75
  4. Step 4: Simplify right side
    5,828.18x = 33,949,411.82
  5. Step 5: Solve for x
    x = 33,949,411.82/5,828.18
  6. Step 6: Final answer
    x = 5,825.05

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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.