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Finding the Fourth Proportional to 3,852.70, 5,791.94 and 3,040.76

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Solution

The fourth proportional to 3,852.70, 5,791.94 and 3,040.76 is: 4,571.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.70 : 5,791.94 = 3,040.76 : x
  2. Step 2: Convert to fraction form
    3,852.70/5,791.94 = 3,040.76/x
  3. Step 3: Cross multiply
    3,852.70x = 5,791.94 × 3,040.76
  4. Step 4: Simplify right side
    3,852.70x = 17,611,899.47
  5. Step 5: Solve for x
    x = 17,611,899.47/3,852.70
  6. Step 6: Final answer
    x = 4,571.31

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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.