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Finding the Fourth Proportional to 5,897.40, 8,136.94 and 3,799

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Solution

The fourth proportional to 5,897.40, 8,136.94 and 3,799 is: 5,241.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.40 : 8,136.94 = 3,799 : x
  2. Step 2: Convert to fraction form
    5,897.40/8,136.94 = 3,799/x
  3. Step 3: Cross multiply
    5,897.40x = 8,136.94 × 3,799
  4. Step 4: Simplify right side
    5,897.40x = 30,912,235.06
  5. Step 5: Solve for x
    x = 30,912,235.06/5,897.40
  6. Step 6: Final answer
    x = 5,241.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.