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Finding the Fourth Proportional to 5,741.66, 7,922.82 and 3,223.22

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Solution

The fourth proportional to 5,741.66, 7,922.82 and 3,223.22 is: 4,447.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.66 : 7,922.82 = 3,223.22 : x
  2. Step 2: Convert to fraction form
    5,741.66/7,922.82 = 3,223.22/x
  3. Step 3: Cross multiply
    5,741.66x = 7,922.82 × 3,223.22
  4. Step 4: Simplify right side
    5,741.66x = 25,536,991.88
  5. Step 5: Solve for x
    x = 25,536,991.88/5,741.66
  6. Step 6: Final answer
    x = 4,447.67

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1.5x scale

Why These Related Problems?

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