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Finding the Fourth Proportional to 4,813.35, 7,216.92 and 3,164.91

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Solution

The fourth proportional to 4,813.35, 7,216.92 and 3,164.91 is: 4,745.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,813.35 : 7,216.92 = 3,164.91 : x
  2. Step 2: Convert to fraction form
    4,813.35/7,216.92 = 3,164.91/x
  3. Step 3: Cross multiply
    4,813.35x = 7,216.92 × 3,164.91
  4. Step 4: Simplify right side
    4,813.35x = 22,840,902.28
  5. Step 5: Solve for x
    x = 22,840,902.28/4,813.35
  6. Step 6: Final answer
    x = 4,745.32

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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.