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Finding the Fourth Proportional to 3,846.68, 5,765.58 and 1,873.29

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Solution

The fourth proportional to 3,846.68, 5,765.58 and 1,873.29 is: 2,807.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.68 : 5,765.58 = 1,873.29 : x
  2. Step 2: Convert to fraction form
    3,846.68/5,765.58 = 1,873.29/x
  3. Step 3: Cross multiply
    3,846.68x = 5,765.58 × 1,873.29
  4. Step 4: Simplify right side
    3,846.68x = 10,800,603.36
  5. Step 5: Solve for x
    x = 10,800,603.36/3,846.68
  6. Step 6: Final answer
    x = 2,807.78

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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.