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Finding the Fourth Proportional to 4,072.65, 6,109.09 and 1,994.32

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Solution

The fourth proportional to 4,072.65, 6,109.09 and 1,994.32 is: 2,991.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,072.65 : 6,109.09 = 1,994.32 : x
  2. Step 2: Convert to fraction form
    4,072.65/6,109.09 = 1,994.32/x
  3. Step 3: Cross multiply
    4,072.65x = 6,109.09 × 1,994.32
  4. Step 4: Simplify right side
    4,072.65x = 12,183,483.02
  5. Step 5: Solve for x
    x = 12,183,483.02/4,072.65
  6. Step 6: Final answer
    x = 2,991.54

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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.