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Finding the Fourth Proportional to 5,455.50, 8,186.19 and 2,168.63

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Solution

The fourth proportional to 5,455.50, 8,186.19 and 2,168.63 is: 3,254.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,455.50 : 8,186.19 = 2,168.63 : x
  2. Step 2: Convert to fraction form
    5,455.50/8,186.19 = 2,168.63/x
  3. Step 3: Cross multiply
    5,455.50x = 8,186.19 × 2,168.63
  4. Step 4: Simplify right side
    5,455.50x = 17,752,796.75
  5. Step 5: Solve for x
    x = 17,752,796.75/5,455.50
  6. Step 6: Final answer
    x = 3,254.11

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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.