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Finding the Fourth Proportional to 5,661.21, 7,811.23 and 3,423.05

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Solution

The fourth proportional to 5,661.21, 7,811.23 and 3,423.05 is: 4,723.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.21 : 7,811.23 = 3,423.05 : x
  2. Step 2: Convert to fraction form
    5,661.21/7,811.23 = 3,423.05/x
  3. Step 3: Cross multiply
    5,661.21x = 7,811.23 × 3,423.05
  4. Step 4: Simplify right side
    5,661.21x = 26,738,230.85
  5. Step 5: Solve for x
    x = 26,738,230.85/5,661.21
  6. Step 6: Final answer
    x = 4,723.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.