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Finding the Fourth Proportional to 3,682.01, 5,509.24 and 2,195.80

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Solution

The fourth proportional to 3,682.01, 5,509.24 and 2,195.80 is: 3,285.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.01 : 5,509.24 = 2,195.80 : x
  2. Step 2: Convert to fraction form
    3,682.01/5,509.24 = 2,195.80/x
  3. Step 3: Cross multiply
    3,682.01x = 5,509.24 × 2,195.80
  4. Step 4: Simplify right side
    3,682.01x = 12,097,189.19
  5. Step 5: Solve for x
    x = 12,097,189.19/3,682.01
  6. Step 6: Final answer
    x = 3,285.49

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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.