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Finding the Fourth Proportional to 3,818.79, 5,730.21 and 1,846.85

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Solution

The fourth proportional to 3,818.79, 5,730.21 and 1,846.85 is: 2,771.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818.79 : 5,730.21 = 1,846.85 : x
  2. Step 2: Convert to fraction form
    3,818.79/5,730.21 = 1,846.85/x
  3. Step 3: Cross multiply
    3,818.79x = 5,730.21 × 1,846.85
  4. Step 4: Simplify right side
    3,818.79x = 10,582,809.69
  5. Step 5: Solve for x
    x = 10,582,809.69/3,818.79
  6. Step 6: Final answer
    x = 2,771.25

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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.