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Finding the Fourth Proportional to 4,782.22, 7,171.94 and 1,859.83

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Solution

The fourth proportional to 4,782.22, 7,171.94 and 1,859.83 is: 2,789.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.22 : 7,171.94 = 1,859.83 : x
  2. Step 2: Convert to fraction form
    4,782.22/7,171.94 = 1,859.83/x
  3. Step 3: Cross multiply
    4,782.22x = 7,171.94 × 1,859.83
  4. Step 4: Simplify right side
    4,782.22x = 13,338,579.87
  5. Step 5: Solve for x
    x = 13,338,579.87/4,782.22
  6. Step 6: Final answer
    x = 2,789.20

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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.