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Finding the Fourth Proportional to 3,757.86, 5,633.70 and 2,831.64

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Solution

The fourth proportional to 3,757.86, 5,633.70 and 2,831.64 is: 4,245.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.86 : 5,633.70 = 2,831.64 : x
  2. Step 2: Convert to fraction form
    3,757.86/5,633.70 = 2,831.64/x
  3. Step 3: Cross multiply
    3,757.86x = 5,633.70 × 2,831.64
  4. Step 4: Simplify right side
    3,757.86x = 15,952,610.27
  5. Step 5: Solve for x
    x = 15,952,610.27/3,757.86
  6. Step 6: Final answer
    x = 4,245.13

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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.