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Finding the Fourth Proportional to 4,213.30, 6,322.22 and 1,749.82

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Solution

The fourth proportional to 4,213.30, 6,322.22 and 1,749.82 is: 2,625.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213.30 : 6,322.22 = 1,749.82 : x
  2. Step 2: Convert to fraction form
    4,213.30/6,322.22 = 1,749.82/x
  3. Step 3: Cross multiply
    4,213.30x = 6,322.22 × 1,749.82
  4. Step 4: Simplify right side
    4,213.30x = 11,062,706.64
  5. Step 5: Solve for x
    x = 11,062,706.64/4,213.30
  6. Step 6: Final answer
    x = 2,625.67

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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.