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Finding the Fourth Proportional to 5,863.25, 8,091.32 and 3,210.68

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Solution

The fourth proportional to 5,863.25, 8,091.32 and 3,210.68 is: 4,430.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863.25 : 8,091.32 = 3,210.68 : x
  2. Step 2: Convert to fraction form
    5,863.25/8,091.32 = 3,210.68/x
  3. Step 3: Cross multiply
    5,863.25x = 8,091.32 × 3,210.68
  4. Step 4: Simplify right side
    5,863.25x = 25,978,582.79
  5. Step 5: Solve for x
    x = 25,978,582.79/5,863.25
  6. Step 6: Final answer
    x = 4,430.75

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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.