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Finding the Fourth Proportional to 5,902.75, 8,857.77 and 2,440

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Solution

The fourth proportional to 5,902.75, 8,857.77 and 2,440 is: 3,661.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.75 : 8,857.77 = 2,440 : x
  2. Step 2: Convert to fraction form
    5,902.75/8,857.77 = 2,440/x
  3. Step 3: Cross multiply
    5,902.75x = 8,857.77 × 2,440
  4. Step 4: Simplify right side
    5,902.75x = 21,612,958.80
  5. Step 5: Solve for x
    x = 21,612,958.80/5,902.75
  6. Step 6: Final answer
    x = 3,661.51

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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.