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Finding the Fourth Proportional to 3,403.72, 5,105.77 and 1,063.99

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Solution

The fourth proportional to 3,403.72, 5,105.77 and 1,063.99 is: 1,596.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.72 : 5,105.77 = 1,063.99 : x
  2. Step 2: Convert to fraction form
    3,403.72/5,105.77 = 1,063.99/x
  3. Step 3: Cross multiply
    3,403.72x = 5,105.77 × 1,063.99
  4. Step 4: Simplify right side
    3,403.72x = 5,432,463.22
  5. Step 5: Solve for x
    x = 5,432,463.22/3,403.72
  6. Step 6: Final answer
    x = 1,596.04

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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.