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Finding the Fourth Proportional to 3,831.41, 5,743.02 and 2,184.41

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Solution

The fourth proportional to 3,831.41, 5,743.02 and 2,184.41 is: 3,274.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.41 : 5,743.02 = 2,184.41 : x
  2. Step 2: Convert to fraction form
    3,831.41/5,743.02 = 2,184.41/x
  3. Step 3: Cross multiply
    3,831.41x = 5,743.02 × 2,184.41
  4. Step 4: Simplify right side
    3,831.41x = 12,545,110.32
  5. Step 5: Solve for x
    x = 12,545,110.32/3,831.41
  6. Step 6: Final answer
    x = 3,274.28

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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.