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Finding the Fourth Proportional to 3,831.48, 5,744.82 and 2,913

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Solution

The fourth proportional to 3,831.48, 5,744.82 and 2,913 is: 4,367.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.48 : 5,744.82 = 2,913 : x
  2. Step 2: Convert to fraction form
    3,831.48/5,744.82 = 2,913/x
  3. Step 3: Cross multiply
    3,831.48x = 5,744.82 × 2,913
  4. Step 4: Simplify right side
    3,831.48x = 16,734,660.66
  5. Step 5: Solve for x
    x = 16,734,660.66/3,831.48
  6. Step 6: Final answer
    x = 4,367.68

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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.