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Finding the Fourth Proportional to 3,831.71, 5,747.78 and 1,199.58

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Solution

The fourth proportional to 3,831.71, 5,747.78 and 1,199.58 is: 1,799.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.71 : 5,747.78 = 1,199.58 : x
  2. Step 2: Convert to fraction form
    3,831.71/5,747.78 = 1,199.58/x
  3. Step 3: Cross multiply
    3,831.71x = 5,747.78 × 1,199.58
  4. Step 4: Simplify right side
    3,831.71x = 6,894,915.93
  5. Step 5: Solve for x
    x = 6,894,915.93/3,831.71
  6. Step 6: Final answer
    x = 1,799.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.