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Finding the Fourth Proportional to 3,855.63, 5,320.78 and 2,087.23

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Solution

The fourth proportional to 3,855.63, 5,320.78 and 2,087.23 is: 2,880.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.63 : 5,320.78 = 2,087.23 : x
  2. Step 2: Convert to fraction form
    3,855.63/5,320.78 = 2,087.23/x
  3. Step 3: Cross multiply
    3,855.63x = 5,320.78 × 2,087.23
  4. Step 4: Simplify right side
    3,855.63x = 11,105,679.77
  5. Step 5: Solve for x
    x = 11,105,679.77/3,855.63
  6. Step 6: Final answer
    x = 2,880.38

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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.