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Finding the Fourth Proportional to 5,736.52, 8,603.97 and 1,840.42

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Solution

The fourth proportional to 5,736.52, 8,603.97 and 1,840.42 is: 2,760.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.52 : 8,603.97 = 1,840.42 : x
  2. Step 2: Convert to fraction form
    5,736.52/8,603.97 = 1,840.42/x
  3. Step 3: Cross multiply
    5,736.52x = 8,603.97 × 1,840.42
  4. Step 4: Simplify right side
    5,736.52x = 15,834,932.67
  5. Step 5: Solve for x
    x = 15,834,932.67/5,736.52
  6. Step 6: Final answer
    x = 2,760.37

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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.