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Finding the Fourth Proportional to 5,835.87, 8,739.23 and 3,637.94

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Solution

The fourth proportional to 5,835.87, 8,739.23 and 3,637.94 is: 5,447.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835.87 : 8,739.23 = 3,637.94 : x
  2. Step 2: Convert to fraction form
    5,835.87/8,739.23 = 3,637.94/x
  3. Step 3: Cross multiply
    5,835.87x = 8,739.23 × 3,637.94
  4. Step 4: Simplify right side
    5,835.87x = 31,792,732.50
  5. Step 5: Solve for x
    x = 31,792,732.50/5,835.87
  6. Step 6: Final answer
    x = 5,447.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.