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Finding the Fourth Proportional to 5,831.74, 8,046.57 and 3,474.64

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Solution

The fourth proportional to 5,831.74, 8,046.57 and 3,474.64 is: 4,794.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.74 : 8,046.57 = 3,474.64 : x
  2. Step 2: Convert to fraction form
    5,831.74/8,046.57 = 3,474.64/x
  3. Step 3: Cross multiply
    5,831.74x = 8,046.57 × 3,474.64
  4. Step 4: Simplify right side
    5,831.74x = 27,958,933.98
  5. Step 5: Solve for x
    x = 27,958,933.98/5,831.74
  6. Step 6: Final answer
    x = 4,794.27

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