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Finding the Fourth Proportional to 4,603.52, 6,906.44 and 1,829.27

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Solution

The fourth proportional to 4,603.52, 6,906.44 and 1,829.27 is: 2,744.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,603.52 : 6,906.44 = 1,829.27 : x
  2. Step 2: Convert to fraction form
    4,603.52/6,906.44 = 1,829.27/x
  3. Step 3: Cross multiply
    4,603.52x = 6,906.44 × 1,829.27
  4. Step 4: Simplify right side
    4,603.52x = 12,633,765.34
  5. Step 5: Solve for x
    x = 12,633,765.34/4,603.52
  6. Step 6: Final answer
    x = 2,744.37

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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.