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Finding the Fourth Proportional to 5,211.48, 7,813.98 and 2,744.76

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Solution

The fourth proportional to 5,211.48, 7,813.98 and 2,744.76 is: 4,115.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,211.48 : 7,813.98 = 2,744.76 : x
  2. Step 2: Convert to fraction form
    5,211.48/7,813.98 = 2,744.76/x
  3. Step 3: Cross multiply
    5,211.48x = 7,813.98 × 2,744.76
  4. Step 4: Simplify right side
    5,211.48x = 21,447,499.74
  5. Step 5: Solve for x
    x = 21,447,499.74/5,211.48
  6. Step 6: Final answer
    x = 4,115.43

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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.