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Finding the Fourth Proportional to 5,538.59, 7,643.17 and 3,020.82

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Solution

The fourth proportional to 5,538.59, 7,643.17 and 3,020.82 is: 4,168.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538.59 : 7,643.17 = 3,020.82 : x
  2. Step 2: Convert to fraction form
    5,538.59/7,643.17 = 3,020.82/x
  3. Step 3: Cross multiply
    5,538.59x = 7,643.17 × 3,020.82
  4. Step 4: Simplify right side
    5,538.59x = 23,088,640.80
  5. Step 5: Solve for x
    x = 23,088,640.80/5,538.59
  6. Step 6: Final answer
    x = 4,168.69

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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.