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Finding the Fourth Proportional to 5,884.93, 8,831.12 and 3,289.57

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Solution

The fourth proportional to 5,884.93, 8,831.12 and 3,289.57 is: 4,936.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.93 : 8,831.12 = 3,289.57 : x
  2. Step 2: Convert to fraction form
    5,884.93/8,831.12 = 3,289.57/x
  3. Step 3: Cross multiply
    5,884.93x = 8,831.12 × 3,289.57
  4. Step 4: Simplify right side
    5,884.93x = 29,050,570.97
  5. Step 5: Solve for x
    x = 29,050,570.97/5,884.93
  6. Step 6: Final answer
    x = 4,936.43

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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.