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Finding the Fourth Proportional to 5,878.92, 8,112.78 and 3,226.32

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Solution

The fourth proportional to 5,878.92, 8,112.78 and 3,226.32 is: 4,452.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.92 : 8,112.78 = 3,226.32 : x
  2. Step 2: Convert to fraction form
    5,878.92/8,112.78 = 3,226.32/x
  3. Step 3: Cross multiply
    5,878.92x = 8,112.78 × 3,226.32
  4. Step 4: Simplify right side
    5,878.92x = 26,174,424.37
  5. Step 5: Solve for x
    x = 26,174,424.37/5,878.92
  6. Step 6: Final answer
    x = 4,452.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.