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Finding the Fourth Proportional to 3,713.86, 5,571.41 and 1,765.41

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Solution

The fourth proportional to 3,713.86, 5,571.41 and 1,765.41 is: 2,648.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.86 : 5,571.41 = 1,765.41 : x
  2. Step 2: Convert to fraction form
    3,713.86/5,571.41 = 1,765.41/x
  3. Step 3: Cross multiply
    3,713.86x = 5,571.41 × 1,765.41
  4. Step 4: Simplify right side
    3,713.86x = 9,835,822.93
  5. Step 5: Solve for x
    x = 9,835,822.93/3,713.86
  6. Step 6: Final answer
    x = 2,648.41

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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.