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Finding the Fourth Proportional to 4,817.82, 7,223.60 and 1,896.42

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Solution

The fourth proportional to 4,817.82, 7,223.60 and 1,896.42 is: 2,843.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,817.82 : 7,223.60 = 1,896.42 : x
  2. Step 2: Convert to fraction form
    4,817.82/7,223.60 = 1,896.42/x
  3. Step 3: Cross multiply
    4,817.82x = 7,223.60 × 1,896.42
  4. Step 4: Simplify right side
    4,817.82x = 13,698,979.51
  5. Step 5: Solve for x
    x = 13,698,979.51/4,817.82
  6. Step 6: Final answer
    x = 2,843.40

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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.