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Finding the Fourth Proportional to 4,391.96, 6,586.72 and 3,149.01

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Solution

The fourth proportional to 4,391.96, 6,586.72 and 3,149.01 is: 4,722.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,391.96 : 6,586.72 = 3,149.01 : x
  2. Step 2: Convert to fraction form
    4,391.96/6,586.72 = 3,149.01/x
  3. Step 3: Cross multiply
    4,391.96x = 6,586.72 × 3,149.01
  4. Step 4: Simplify right side
    4,391.96x = 20,741,639.27
  5. Step 5: Solve for x
    x = 20,741,639.27/4,391.96
  6. Step 6: Final answer
    x = 4,722.64

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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.