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Finding the Fourth Proportional to 4,777.73, 7,163.81 and 1,852.62

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Solution

The fourth proportional to 4,777.73, 7,163.81 and 1,852.62 is: 2,777.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.73 : 7,163.81 = 1,852.62 : x
  2. Step 2: Convert to fraction form
    4,777.73/7,163.81 = 1,852.62/x
  3. Step 3: Cross multiply
    4,777.73x = 7,163.81 × 1,852.62
  4. Step 4: Simplify right side
    4,777.73x = 13,271,822.31
  5. Step 5: Solve for x
    x = 13,271,822.31/4,777.73
  6. Step 6: Final answer
    x = 2,777.85

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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.