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Finding the Fourth Proportional to 2,586.63, 3,879.96 and 638.82

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Solution

The fourth proportional to 2,586.63, 3,879.96 and 638.82 is: 958.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.63 : 3,879.96 = 638.82 : x
  2. Step 2: Convert to fraction form
    2,586.63/3,879.96 = 638.82/x
  3. Step 3: Cross multiply
    2,586.63x = 3,879.96 × 638.82
  4. Step 4: Simplify right side
    2,586.63x = 2,478,596.05
  5. Step 5: Solve for x
    x = 2,478,596.05/2,586.63
  6. Step 6: Final answer
    x = 958.23

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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.