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Finding the Fourth Proportional to 5,844.48, 8,766.81 and 1,684.86

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Solution

The fourth proportional to 5,844.48, 8,766.81 and 1,684.86 is: 2,527.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,844.48 : 8,766.81 = 1,684.86 : x
  2. Step 2: Convert to fraction form
    5,844.48/8,766.81 = 1,684.86/x
  3. Step 3: Cross multiply
    5,844.48x = 8,766.81 × 1,684.86
  4. Step 4: Simplify right side
    5,844.48x = 14,770,847.50
  5. Step 5: Solve for x
    x = 14,770,847.50/5,844.48
  6. Step 6: Final answer
    x = 2,527.32

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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.