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Finding the Fourth Proportional to 3,914.69, 5,869.91 and 1,804.04

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Solution

The fourth proportional to 3,914.69, 5,869.91 and 1,804.04 is: 2,705.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.69 : 5,869.91 = 1,804.04 : x
  2. Step 2: Convert to fraction form
    3,914.69/5,869.91 = 1,804.04/x
  3. Step 3: Cross multiply
    3,914.69x = 5,869.91 × 1,804.04
  4. Step 4: Simplify right side
    3,914.69x = 10,589,552.44
  5. Step 5: Solve for x
    x = 10,589,552.44/3,914.69
  6. Step 6: Final answer
    x = 2,705.08

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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.