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Finding the Fourth Proportional to 4,538.44, 6,812.43 and 4,021.75

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Solution

The fourth proportional to 4,538.44, 6,812.43 and 4,021.75 is: 6,036.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,538.44 : 6,812.43 = 4,021.75 : x
  2. Step 2: Convert to fraction form
    4,538.44/6,812.43 = 4,021.75/x
  3. Step 3: Cross multiply
    4,538.44x = 6,812.43 × 4,021.75
  4. Step 4: Simplify right side
    4,538.44x = 27,397,890.35
  5. Step 5: Solve for x
    x = 27,397,890.35/4,538.44
  6. Step 6: Final answer
    x = 6,036.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.