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Finding the Fourth Proportional to 4,843.50, 7,266.33 and 1,765.50

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Solution

The fourth proportional to 4,843.50, 7,266.33 and 1,765.50 is: 2,648.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.50 : 7,266.33 = 1,765.50 : x
  2. Step 2: Convert to fraction form
    4,843.50/7,266.33 = 1,765.50/x
  3. Step 3: Cross multiply
    4,843.50x = 7,266.33 × 1,765.50
  4. Step 4: Simplify right side
    4,843.50x = 12,828,705.62
  5. Step 5: Solve for x
    x = 12,828,705.62/4,843.50
  6. Step 6: Final answer
    x = 2,648.64

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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.