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Finding the Fourth Proportional to 6,348.30, 8,761.14 and 3,659.96

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Solution

The fourth proportional to 6,348.30, 8,761.14 and 3,659.96 is: 5,051.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.30 : 8,761.14 = 3,659.96 : x
  2. Step 2: Convert to fraction form
    6,348.30/8,761.14 = 3,659.96/x
  3. Step 3: Cross multiply
    6,348.30x = 8,761.14 × 3,659.96
  4. Step 4: Simplify right side
    6,348.30x = 32,065,378.15
  5. Step 5: Solve for x
    x = 32,065,378.15/6,348.30
  6. Step 6: Final answer
    x = 5,051.02

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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.