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Finding the Fourth Proportional to 4,798.22, 7,189.45 and 2,945.41

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Solution

The fourth proportional to 4,798.22, 7,189.45 and 2,945.41 is: 4,413.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,798.22 : 7,189.45 = 2,945.41 : x
  2. Step 2: Convert to fraction form
    4,798.22/7,189.45 = 2,945.41/x
  3. Step 3: Cross multiply
    4,798.22x = 7,189.45 × 2,945.41
  4. Step 4: Simplify right side
    4,798.22x = 21,175,852.59
  5. Step 5: Solve for x
    x = 21,175,852.59/4,798.22
  6. Step 6: Final answer
    x = 4,413.28

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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.