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Finding the Fourth Proportional to 5,967.22, 8,949.39 and 3,657.46

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Solution

The fourth proportional to 5,967.22, 8,949.39 and 3,657.46 is: 5,485.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.22 : 8,949.39 = 3,657.46 : x
  2. Step 2: Convert to fraction form
    5,967.22/8,949.39 = 3,657.46/x
  3. Step 3: Cross multiply
    5,967.22x = 8,949.39 × 3,657.46
  4. Step 4: Simplify right side
    5,967.22x = 32,732,035.95
  5. Step 5: Solve for x
    x = 32,732,035.95/5,967.22
  6. Step 6: Final answer
    x = 5,485.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.