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Finding the Fourth Proportional to 6,336.84, 8,745.38 and 3,684.08

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Solution

The fourth proportional to 6,336.84, 8,745.38 and 3,684.08 is: 5,084.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.84 : 8,745.38 = 3,684.08 : x
  2. Step 2: Convert to fraction form
    6,336.84/8,745.38 = 3,684.08/x
  3. Step 3: Cross multiply
    6,336.84x = 8,745.38 × 3,684.08
  4. Step 4: Simplify right side
    6,336.84x = 32,218,679.55
  5. Step 5: Solve for x
    x = 32,218,679.55/6,336.84
  6. Step 6: Final answer
    x = 5,084.34

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Why These Related Problems?

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