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Finding the Fourth Proportional to 6,340.80, 8,749.92 and 3,546.24

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Solution

The fourth proportional to 6,340.80, 8,749.92 and 3,546.24 is: 4,893.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.80 : 8,749.92 = 3,546.24 : x
  2. Step 2: Convert to fraction form
    6,340.80/8,749.92 = 3,546.24/x
  3. Step 3: Cross multiply
    6,340.80x = 8,749.92 × 3,546.24
  4. Step 4: Simplify right side
    6,340.80x = 31,029,316.30
  5. Step 5: Solve for x
    x = 31,029,316.30/6,340.80
  6. Step 6: Final answer
    x = 4,893.60

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