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Finding the Fourth Proportional to 5,831.70, 8,740.98 and 3,834.24

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Solution

The fourth proportional to 5,831.70, 8,740.98 and 3,834.24 is: 5,747.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.70 : 8,740.98 = 3,834.24 : x
  2. Step 2: Convert to fraction form
    5,831.70/8,740.98 = 3,834.24/x
  3. Step 3: Cross multiply
    5,831.70x = 8,740.98 × 3,834.24
  4. Step 4: Simplify right side
    5,831.70x = 33,515,015.16
  5. Step 5: Solve for x
    x = 33,515,015.16/5,831.70
  6. Step 6: Final answer
    x = 5,747.04

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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.