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Finding the Fourth Proportional to 5,136.54, 7,081.89 and 3,454.37

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Solution

The fourth proportional to 5,136.54, 7,081.89 and 3,454.37 is: 4,762.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.54 : 7,081.89 = 3,454.37 : x
  2. Step 2: Convert to fraction form
    5,136.54/7,081.89 = 3,454.37/x
  3. Step 3: Cross multiply
    5,136.54x = 7,081.89 × 3,454.37
  4. Step 4: Simplify right side
    5,136.54x = 24,463,468.36
  5. Step 5: Solve for x
    x = 24,463,468.36/5,136.54
  6. Step 6: Final answer
    x = 4,762.64

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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.