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Finding the Fourth Proportional to 3,931.22, 5,891.83 and 1,846.62

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Solution

The fourth proportional to 3,931.22, 5,891.83 and 1,846.62 is: 2,767.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,931.22 : 5,891.83 = 1,846.62 : x
  2. Step 2: Convert to fraction form
    3,931.22/5,891.83 = 1,846.62/x
  3. Step 3: Cross multiply
    3,931.22x = 5,891.83 × 1,846.62
  4. Step 4: Simplify right side
    3,931.22x = 10,879,966.50
  5. Step 5: Solve for x
    x = 10,879,966.50/3,931.22
  6. Step 6: Final answer
    x = 2,767.58

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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.