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Finding the Fourth Proportional to 4,586.44, 6,329.42 and 2,819.08

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Solution

The fourth proportional to 4,586.44, 6,329.42 and 2,819.08 is: 3,890.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,586.44 : 6,329.42 = 2,819.08 : x
  2. Step 2: Convert to fraction form
    4,586.44/6,329.42 = 2,819.08/x
  3. Step 3: Cross multiply
    4,586.44x = 6,329.42 × 2,819.08
  4. Step 4: Simplify right side
    4,586.44x = 17,843,141.33
  5. Step 5: Solve for x
    x = 17,843,141.33/4,586.44
  6. Step 6: Final answer
    x = 3,890.41

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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.