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Finding the Fourth Proportional to 4,105.79, 6,164.00 and 3,524.56

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Solution

The fourth proportional to 4,105.79, 6,164.00 and 3,524.56 is: 5,291.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105.79 : 6,164.00 = 3,524.56 : x
  2. Step 2: Convert to fraction form
    4,105.79/6,164.00 = 3,524.56/x
  3. Step 3: Cross multiply
    4,105.79x = 6,164.00 × 3,524.56
  4. Step 4: Simplify right side
    4,105.79x = 21,725,402.70
  5. Step 5: Solve for x
    x = 21,725,402.70/4,105.79
  6. Step 6: Final answer
    x = 5,291.41

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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.