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Finding the Fourth Proportional to 3,855.69, 5,320.80 and 2,087.26

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Solution

The fourth proportional to 3,855.69, 5,320.80 and 2,087.26 is: 2,880.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.69 : 5,320.80 = 2,087.26 : x
  2. Step 2: Convert to fraction form
    3,855.69/5,320.80 = 2,087.26/x
  3. Step 3: Cross multiply
    3,855.69x = 5,320.80 × 2,087.26
  4. Step 4: Simplify right side
    3,855.69x = 11,105,893.01
  5. Step 5: Solve for x
    x = 11,105,893.01/3,855.69
  6. Step 6: Final answer
    x = 2,880.39

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Why These Related Problems?

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