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Finding the Fourth Proportional to 6,186.32, 8,536.85 and 3,633.73

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Solution

The fourth proportional to 6,186.32, 8,536.85 and 3,633.73 is: 5,014.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.32 : 8,536.85 = 3,633.73 : x
  2. Step 2: Convert to fraction form
    6,186.32/8,536.85 = 3,633.73/x
  3. Step 3: Cross multiply
    6,186.32x = 8,536.85 × 3,633.73
  4. Step 4: Simplify right side
    6,186.32x = 31,020,607.95
  5. Step 5: Solve for x
    x = 31,020,607.95/6,186.32
  6. Step 6: Final answer
    x = 5,014.39

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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.