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Finding the Fourth Proportional to 3,831.48, 5,747.22 and 1,095.48

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Solution

The fourth proportional to 3,831.48, 5,747.22 and 1,095.48 is: 1,643.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.48 : 5,747.22 = 1,095.48 : x
  2. Step 2: Convert to fraction form
    3,831.48/5,747.22 = 1,095.48/x
  3. Step 3: Cross multiply
    3,831.48x = 5,747.22 × 1,095.48
  4. Step 4: Simplify right side
    3,831.48x = 6,295,964.57
  5. Step 5: Solve for x
    x = 6,295,964.57/3,831.48
  6. Step 6: Final answer
    x = 1,643.22

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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.