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Finding the Fourth Proportional to 3,831.98, 5,744.30 and 2,893.46

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Solution

The fourth proportional to 3,831.98, 5,744.30 and 2,893.46 is: 4,337.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.98 : 5,744.30 = 2,893.46 : x
  2. Step 2: Convert to fraction form
    3,831.98/5,744.30 = 2,893.46/x
  3. Step 3: Cross multiply
    3,831.98x = 5,744.30 × 2,893.46
  4. Step 4: Simplify right side
    3,831.98x = 16,620,859.09
  5. Step 5: Solve for x
    x = 16,620,859.09/3,831.98
  6. Step 6: Final answer
    x = 4,337.41

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1.5x scale

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.