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Finding the Fourth Proportional to 5,136.85, 7,701.60 and 3,158.41

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Solution

The fourth proportional to 5,136.85, 7,701.60 and 3,158.41 is: 4,735.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.85 : 7,701.60 = 3,158.41 : x
  2. Step 2: Convert to fraction form
    5,136.85/7,701.60 = 3,158.41/x
  3. Step 3: Cross multiply
    5,136.85x = 7,701.60 × 3,158.41
  4. Step 4: Simplify right side
    5,136.85x = 24,324,810.46
  5. Step 5: Solve for x
    x = 24,324,810.46/5,136.85
  6. Step 6: Final answer
    x = 4,735.36

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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.