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Finding the Fourth Proportional to 5,220.95, 7,814.48 and 3,834

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Solution

The fourth proportional to 5,220.95, 7,814.48 and 3,834 is: 5,738.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,220.95 : 7,814.48 = 3,834 : x
  2. Step 2: Convert to fraction form
    5,220.95/7,814.48 = 3,834/x
  3. Step 3: Cross multiply
    5,220.95x = 7,814.48 × 3,834
  4. Step 4: Simplify right side
    5,220.95x = 29,960,697.15
  5. Step 5: Solve for x
    x = 29,960,697.15/5,220.95
  6. Step 6: Final answer
    x = 5,738.56

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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.