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Finding the Fourth Proportional to 5,538.52, 7,643.19 and 3,148.21

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Solution

The fourth proportional to 5,538.52, 7,643.19 and 3,148.21 is: 4,344.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538.52 : 7,643.19 = 3,148.21 : x
  2. Step 2: Convert to fraction form
    5,538.52/7,643.19 = 3,148.21/x
  3. Step 3: Cross multiply
    5,538.52x = 7,643.19 × 3,148.21
  4. Step 4: Simplify right side
    5,538.52x = 24,062,367.19
  5. Step 5: Solve for x
    x = 24,062,367.19/5,538.52
  6. Step 6: Final answer
    x = 4,344.55

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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.