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Finding the Fourth Proportional to 3,867.16, 5,801.09 and 1,093.86

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Solution

The fourth proportional to 3,867.16, 5,801.09 and 1,093.86 is: 1,640.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.16 : 5,801.09 = 1,093.86 : x
  2. Step 2: Convert to fraction form
    3,867.16/5,801.09 = 1,093.86/x
  3. Step 3: Cross multiply
    3,867.16x = 5,801.09 × 1,093.86
  4. Step 4: Simplify right side
    3,867.16x = 6,345,580.31
  5. Step 5: Solve for x
    x = 6,345,580.31/3,867.16
  6. Step 6: Final answer
    x = 1,640.89

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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.