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Finding the Fourth Proportional to 5,538.42, 7,643.02 and 3,054.42

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Solution

The fourth proportional to 5,538.42, 7,643.02 and 3,054.42 is: 4,215.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538.42 : 7,643.02 = 3,054.42 : x
  2. Step 2: Convert to fraction form
    5,538.42/7,643.02 = 3,054.42/x
  3. Step 3: Cross multiply
    5,538.42x = 7,643.02 × 3,054.42
  4. Step 4: Simplify right side
    5,538.42x = 23,344,993.15
  5. Step 5: Solve for x
    x = 23,344,993.15/5,538.42
  6. Step 6: Final answer
    x = 4,215.10

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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.