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Finding the Fourth Proportional to 3,848.99, 5,774.39 and 2,761.56

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Solution

The fourth proportional to 3,848.99, 5,774.39 and 2,761.56 is: 4,142.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.99 : 5,774.39 = 2,761.56 : x
  2. Step 2: Convert to fraction form
    3,848.99/5,774.39 = 2,761.56/x
  3. Step 3: Cross multiply
    3,848.99x = 5,774.39 × 2,761.56
  4. Step 4: Simplify right side
    3,848.99x = 15,946,321.00
  5. Step 5: Solve for x
    x = 15,946,321.00/3,848.99
  6. Step 6: Final answer
    x = 4,142.99

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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.