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Finding the Fourth Proportional to 6,090.82, 9,109.83 and 3,586.03

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Solution

The fourth proportional to 6,090.82, 9,109.83 and 3,586.03 is: 5,363.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,090.82 : 9,109.83 = 3,586.03 : x
  2. Step 2: Convert to fraction form
    6,090.82/9,109.83 = 3,586.03/x
  3. Step 3: Cross multiply
    6,090.82x = 9,109.83 × 3,586.03
  4. Step 4: Simplify right side
    6,090.82x = 32,668,105.74
  5. Step 5: Solve for x
    x = 32,668,105.74/6,090.82
  6. Step 6: Final answer
    x = 5,363.50

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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.