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Finding the Fourth Proportional to 3,105.86, 4,651.16 and 2,006.88

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Solution

The fourth proportional to 3,105.86, 4,651.16 and 2,006.88 is: 3,005.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.86 : 4,651.16 = 2,006.88 : x
  2. Step 2: Convert to fraction form
    3,105.86/4,651.16 = 2,006.88/x
  3. Step 3: Cross multiply
    3,105.86x = 4,651.16 × 2,006.88
  4. Step 4: Simplify right side
    3,105.86x = 9,334,319.98
  5. Step 5: Solve for x
    x = 9,334,319.98/3,105.86
  6. Step 6: Final answer
    x = 3,005.39

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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.