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Finding the Fourth Proportional to 6,343.98, 8,754.37 and 3,690.96

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Solution

The fourth proportional to 6,343.98, 8,754.37 and 3,690.96 is: 5,093.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.98 : 8,754.37 = 3,690.96 : x
  2. Step 2: Convert to fraction form
    6,343.98/8,754.37 = 3,690.96/x
  3. Step 3: Cross multiply
    6,343.98x = 8,754.37 × 3,690.96
  4. Step 4: Simplify right side
    6,343.98x = 32,312,029.50
  5. Step 5: Solve for x
    x = 32,312,029.50/6,343.98
  6. Step 6: Final answer
    x = 5,093.34

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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.