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Finding the Fourth Proportional to 3,831.64, 5,746.23 and 1,233.97

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Solution

The fourth proportional to 3,831.64, 5,746.23 and 1,233.97 is: 1,850.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.64 : 5,746.23 = 1,233.97 : x
  2. Step 2: Convert to fraction form
    3,831.64/5,746.23 = 1,233.97/x
  3. Step 3: Cross multiply
    3,831.64x = 5,746.23 × 1,233.97
  4. Step 4: Simplify right side
    3,831.64x = 7,090,661.07
  5. Step 5: Solve for x
    x = 7,090,661.07/3,831.64
  6. Step 6: Final answer
    x = 1,850.56

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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.