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Finding the Fourth Proportional to 5,606.85, 8,409.24 and 2,096.04

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Solution

The fourth proportional to 5,606.85, 8,409.24 and 2,096.04 is: 3,143.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.85 : 8,409.24 = 2,096.04 : x
  2. Step 2: Convert to fraction form
    5,606.85/8,409.24 = 2,096.04/x
  3. Step 3: Cross multiply
    5,606.85x = 8,409.24 × 2,096.04
  4. Step 4: Simplify right side
    5,606.85x = 17,626,103.41
  5. Step 5: Solve for x
    x = 17,626,103.41/5,606.85
  6. Step 6: Final answer
    x = 3,143.67

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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.