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Finding the Fourth Proportional to 4,805.56, 7,203.39 and 1,843.19

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Solution

The fourth proportional to 4,805.56, 7,203.39 and 1,843.19 is: 2,762.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805.56 : 7,203.39 = 1,843.19 : x
  2. Step 2: Convert to fraction form
    4,805.56/7,203.39 = 1,843.19/x
  3. Step 3: Cross multiply
    4,805.56x = 7,203.39 × 1,843.19
  4. Step 4: Simplify right side
    4,805.56x = 13,277,216.41
  5. Step 5: Solve for x
    x = 13,277,216.41/4,805.56
  6. Step 6: Final answer
    x = 2,762.89

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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.