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Finding the Fourth Proportional to 5,388.75, 8,083.94 and 1,926.81

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Solution

The fourth proportional to 5,388.75, 8,083.94 and 1,926.81 is: 2,890.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,388.75 : 8,083.94 = 1,926.81 : x
  2. Step 2: Convert to fraction form
    5,388.75/8,083.94 = 1,926.81/x
  3. Step 3: Cross multiply
    5,388.75x = 8,083.94 × 1,926.81
  4. Step 4: Simplify right side
    5,388.75x = 15,576,206.80
  5. Step 5: Solve for x
    x = 15,576,206.80/5,388.75
  6. Step 6: Final answer
    x = 2,890.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.