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Finding the Fourth Proportional to 4,803.56, 7,205.71 and 1,843.42

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Solution

The fourth proportional to 4,803.56, 7,205.71 and 1,843.42 is: 2,765.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,803.56 : 7,205.71 = 1,843.42 : x
  2. Step 2: Convert to fraction form
    4,803.56/7,205.71 = 1,843.42/x
  3. Step 3: Cross multiply
    4,803.56x = 7,205.71 × 1,843.42
  4. Step 4: Simplify right side
    4,803.56x = 13,283,149.93
  5. Step 5: Solve for x
    x = 13,283,149.93/4,803.56
  6. Step 6: Final answer
    x = 2,765.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.