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Finding the Fourth Proportional to 5,908.62, 8,866.02 and 3,828.09

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Solution

The fourth proportional to 5,908.62, 8,866.02 and 3,828.09 is: 5,744.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,908.62 : 8,866.02 = 3,828.09 : x
  2. Step 2: Convert to fraction form
    5,908.62/8,866.02 = 3,828.09/x
  3. Step 3: Cross multiply
    5,908.62x = 8,866.02 × 3,828.09
  4. Step 4: Simplify right side
    5,908.62x = 33,939,922.50
  5. Step 5: Solve for x
    x = 33,939,922.50/5,908.62
  6. Step 6: Final answer
    x = 5,744.14

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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.