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Finding the Fourth Proportional to 5,033.81, 6,953.20 and 3,831.49

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Solution

The fourth proportional to 5,033.81, 6,953.20 and 3,831.49 is: 5,292.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,033.81 : 6,953.20 = 3,831.49 : x
  2. Step 2: Convert to fraction form
    5,033.81/6,953.20 = 3,831.49/x
  3. Step 3: Cross multiply
    5,033.81x = 6,953.20 × 3,831.49
  4. Step 4: Simplify right side
    5,033.81x = 26,641,115.38
  5. Step 5: Solve for x
    x = 26,641,115.38/5,033.81
  6. Step 6: Final answer
    x = 5,292.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.