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Finding the Fourth Proportional to 6,749.40, 10,105.02 and 3,579.63

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Solution

The fourth proportional to 6,749.40, 10,105.02 and 3,579.63 is: 5,359.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,749.40 : 10,105.02 = 3,579.63 : x
  2. Step 2: Convert to fraction form
    6,749.40/10,105.02 = 3,579.63/x
  3. Step 3: Cross multiply
    6,749.40x = 10,105.02 × 3,579.63
  4. Step 4: Simplify right side
    6,749.40x = 36,172,194.85
  5. Step 5: Solve for x
    x = 36,172,194.85/6,749.40
  6. Step 6: Final answer
    x = 5,359.32

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