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Finding the Fourth Proportional to 5,538.75, 7,643.48 and 3,054.75

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Solution

The fourth proportional to 5,538.75, 7,643.48 and 3,054.75 is: 4,215.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538.75 : 7,643.48 = 3,054.75 : x
  2. Step 2: Convert to fraction form
    5,538.75/7,643.48 = 3,054.75/x
  3. Step 3: Cross multiply
    5,538.75x = 7,643.48 × 3,054.75
  4. Step 4: Simplify right side
    5,538.75x = 23,348,920.53
  5. Step 5: Solve for x
    x = 23,348,920.53/5,538.75
  6. Step 6: Final answer
    x = 4,215.56

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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.