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Finding the Fourth Proportional to 3,679.09, 5,518.50 and 905.77

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Solution

The fourth proportional to 3,679.09, 5,518.50 and 905.77 is: 1,358.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.09 : 5,518.50 = 905.77 : x
  2. Step 2: Convert to fraction form
    3,679.09/5,518.50 = 905.77/x
  3. Step 3: Cross multiply
    3,679.09x = 5,518.50 × 905.77
  4. Step 4: Simplify right side
    3,679.09x = 4,998,491.75
  5. Step 5: Solve for x
    x = 4,998,491.75/3,679.09
  6. Step 6: Final answer
    x = 1,358.62

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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.