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Finding the Fourth Proportional to 5,538.94, 7,643.73 and 3,054.94

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Solution

The fourth proportional to 5,538.94, 7,643.73 and 3,054.94 is: 4,215.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538.94 : 7,643.73 = 3,054.94 : x
  2. Step 2: Convert to fraction form
    5,538.94/7,643.73 = 3,054.94/x
  3. Step 3: Cross multiply
    5,538.94x = 7,643.73 × 3,054.94
  4. Step 4: Simplify right side
    5,538.94x = 23,351,128.87
  5. Step 5: Solve for x
    x = 23,351,128.87/5,538.94
  6. Step 6: Final answer
    x = 4,215.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.