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Finding the Fourth Proportional to 4,640.86, 6,961.61 and 1,867.56

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Solution

The fourth proportional to 4,640.86, 6,961.61 and 1,867.56 is: 2,801.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.86 : 6,961.61 = 1,867.56 : x
  2. Step 2: Convert to fraction form
    4,640.86/6,961.61 = 1,867.56/x
  3. Step 3: Cross multiply
    4,640.86x = 6,961.61 × 1,867.56
  4. Step 4: Simplify right side
    4,640.86x = 13,001,202.93
  5. Step 5: Solve for x
    x = 13,001,202.93/4,640.86
  6. Step 6: Final answer
    x = 2,801.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.