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Finding the Fourth Proportional to 3,586.77, 5,379.24 and 1,277.73

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Solution

The fourth proportional to 3,586.77, 5,379.24 and 1,277.73 is: 1,916.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.77 : 5,379.24 = 1,277.73 : x
  2. Step 2: Convert to fraction form
    3,586.77/5,379.24 = 1,277.73/x
  3. Step 3: Cross multiply
    3,586.77x = 5,379.24 × 1,277.73
  4. Step 4: Simplify right side
    3,586.77x = 6,873,216.33
  5. Step 5: Solve for x
    x = 6,873,216.33/3,586.77
  6. Step 6: Final answer
    x = 1,916.27

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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.