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Finding the Fourth Proportional to 6,336.95, 8,745.32 and 3,648.57

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Solution

The fourth proportional to 6,336.95, 8,745.32 and 3,648.57 is: 5,035.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.95 : 8,745.32 = 3,648.57 : x
  2. Step 2: Convert to fraction form
    6,336.95/8,745.32 = 3,648.57/x
  3. Step 3: Cross multiply
    6,336.95x = 8,745.32 × 3,648.57
  4. Step 4: Simplify right side
    6,336.95x = 31,907,921.31
  5. Step 5: Solve for x
    x = 31,907,921.31/6,336.95
  6. Step 6: Final answer
    x = 5,035.22

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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.