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Finding the Fourth Proportional to 6,340.24, 8,749.38 and 3,546.28

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Solution

The fourth proportional to 6,340.24, 8,749.38 and 3,546.28 is: 4,893.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.24 : 8,749.38 = 3,546.28 : x
  2. Step 2: Convert to fraction form
    6,340.24/8,749.38 = 3,546.28/x
  3. Step 3: Cross multiply
    6,340.24x = 8,749.38 × 3,546.28
  4. Step 4: Simplify right side
    6,340.24x = 31,027,751.31
  5. Step 5: Solve for x
    x = 31,027,751.31/6,340.24
  6. Step 6: Final answer
    x = 4,893.78

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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.