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Finding the Fourth Proportional to 3,804.56, 5,706.87 and 1,338.82

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Solution

The fourth proportional to 3,804.56, 5,706.87 and 1,338.82 is: 2,008.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.56 : 5,706.87 = 1,338.82 : x
  2. Step 2: Convert to fraction form
    3,804.56/5,706.87 = 1,338.82/x
  3. Step 3: Cross multiply
    3,804.56x = 5,706.87 × 1,338.82
  4. Step 4: Simplify right side
    3,804.56x = 7,640,443.16
  5. Step 5: Solve for x
    x = 7,640,443.16/3,804.56
  6. Step 6: Final answer
    x = 2,008.23

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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.