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Finding the Fourth Proportional to 3,804.14, 5,708.77 and 1,338.98

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Solution

The fourth proportional to 3,804.14, 5,708.77 and 1,338.98 is: 2,009.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.14 : 5,708.77 = 1,338.98 : x
  2. Step 2: Convert to fraction form
    3,804.14/5,708.77 = 1,338.98/x
  3. Step 3: Cross multiply
    3,804.14x = 5,708.77 × 1,338.98
  4. Step 4: Simplify right side
    3,804.14x = 7,643,896.96
  5. Step 5: Solve for x
    x = 7,643,896.96/3,804.14
  6. Step 6: Final answer
    x = 2,009.36

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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.