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Finding the Fourth Proportional to 4,539.44, 6,813.93 and 4,022.75

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Solution

The fourth proportional to 4,539.44, 6,813.93 and 4,022.75 is: 6,038.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,539.44 : 6,813.93 = 4,022.75 : x
  2. Step 2: Convert to fraction form
    4,539.44/6,813.93 = 4,022.75/x
  3. Step 3: Cross multiply
    4,539.44x = 6,813.93 × 4,022.75
  4. Step 4: Simplify right side
    4,539.44x = 27,410,736.91
  5. Step 5: Solve for x
    x = 27,410,736.91/4,539.44
  6. Step 6: Final answer
    x = 6,038.35

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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.