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Finding the Fourth Proportional to 3,894.50, 5,840.36 and 1,261.37

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Solution

The fourth proportional to 3,894.50, 5,840.36 and 1,261.37 is: 1,891.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.50 : 5,840.36 = 1,261.37 : x
  2. Step 2: Convert to fraction form
    3,894.50/5,840.36 = 1,261.37/x
  3. Step 3: Cross multiply
    3,894.50x = 5,840.36 × 1,261.37
  4. Step 4: Simplify right side
    3,894.50x = 7,366,828.84
  5. Step 5: Solve for x
    x = 7,366,828.84/3,894.50
  6. Step 6: Final answer
    x = 1,891.60

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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.