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Finding the Fourth Proportional to 3,950.96, 5,450.52 and 2,294

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Solution

The fourth proportional to 3,950.96, 5,450.52 and 2,294 is: 3,164.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,950.96 : 5,450.52 = 2,294 : x
  2. Step 2: Convert to fraction form
    3,950.96/5,450.52 = 2,294/x
  3. Step 3: Cross multiply
    3,950.96x = 5,450.52 × 2,294
  4. Step 4: Simplify right side
    3,950.96x = 12,503,492.88
  5. Step 5: Solve for x
    x = 12,503,492.88/3,950.96
  6. Step 6: Final answer
    x = 3,164.67

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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.