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Finding the Fourth Proportional to 3,804.26, 5,707.19 and 1,612.94

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Solution

The fourth proportional to 3,804.26, 5,707.19 and 1,612.94 is: 2,419.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.26 : 5,707.19 = 1,612.94 : x
  2. Step 2: Convert to fraction form
    3,804.26/5,707.19 = 1,612.94/x
  3. Step 3: Cross multiply
    3,804.26x = 5,707.19 × 1,612.94
  4. Step 4: Simplify right side
    3,804.26x = 9,205,318.44
  5. Step 5: Solve for x
    x = 9,205,318.44/3,804.26
  6. Step 6: Final answer
    x = 2,419.74

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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.