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Finding the Fourth Proportional to 3,831.69, 5,747.33 and 1,199.19

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Solution

The fourth proportional to 3,831.69, 5,747.33 and 1,199.19 is: 1,798.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.69 : 5,747.33 = 1,199.19 : x
  2. Step 2: Convert to fraction form
    3,831.69/5,747.33 = 1,199.19/x
  3. Step 3: Cross multiply
    3,831.69x = 5,747.33 × 1,199.19
  4. Step 4: Simplify right side
    3,831.69x = 6,892,134.67
  5. Step 5: Solve for x
    x = 6,892,134.67/3,831.69
  6. Step 6: Final answer
    x = 1,798.72

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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.