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Finding the Fourth Proportional to 4,633.85, 6,941.53 and 2,874.67

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Solution

The fourth proportional to 4,633.85, 6,941.53 and 2,874.67 is: 4,306.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633.85 : 6,941.53 = 2,874.67 : x
  2. Step 2: Convert to fraction form
    4,633.85/6,941.53 = 2,874.67/x
  3. Step 3: Cross multiply
    4,633.85x = 6,941.53 × 2,874.67
  4. Step 4: Simplify right side
    4,633.85x = 19,954,608.05
  5. Step 5: Solve for x
    x = 19,954,608.05/4,633.85
  6. Step 6: Final answer
    x = 4,306.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.