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Finding the Fourth Proportional to 5,335.86, 8,001.73 and 3,687.41

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Solution

The fourth proportional to 5,335.86, 8,001.73 and 3,687.41 is: 5,529.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335.86 : 8,001.73 = 3,687.41 : x
  2. Step 2: Convert to fraction form
    5,335.86/8,001.73 = 3,687.41/x
  3. Step 3: Cross multiply
    5,335.86x = 8,001.73 × 3,687.41
  4. Step 4: Simplify right side
    5,335.86x = 29,505,619.21
  5. Step 5: Solve for x
    x = 29,505,619.21/5,335.86
  6. Step 6: Final answer
    x = 5,529.69

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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.