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Finding the Fourth Proportional to 5,636.32, 8,455.68 and 2,174.56

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Solution

The fourth proportional to 5,636.32, 8,455.68 and 2,174.56 is: 3,262.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,636.32 : 8,455.68 = 2,174.56 : x
  2. Step 2: Convert to fraction form
    5,636.32/8,455.68 = 2,174.56/x
  3. Step 3: Cross multiply
    5,636.32x = 8,455.68 × 2,174.56
  4. Step 4: Simplify right side
    5,636.32x = 18,387,383.50
  5. Step 5: Solve for x
    x = 18,387,383.50/5,636.32
  6. Step 6: Final answer
    x = 3,262.30

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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.