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Finding the Fourth Proportional to 5,744.37, 8,609.88 and 3,280.92

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Solution

The fourth proportional to 5,744.37, 8,609.88 and 3,280.92 is: 4,917.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.37 : 8,609.88 = 3,280.92 : x
  2. Step 2: Convert to fraction form
    5,744.37/8,609.88 = 3,280.92/x
  3. Step 3: Cross multiply
    5,744.37x = 8,609.88 × 3,280.92
  4. Step 4: Simplify right side
    5,744.37x = 28,248,327.49
  5. Step 5: Solve for x
    x = 28,248,327.49/5,744.37
  6. Step 6: Final answer
    x = 4,917.57

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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.