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Finding the Fourth Proportional to 3,418.56, 4,717.62 and 1,846.65

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Solution

The fourth proportional to 3,418.56, 4,717.62 and 1,846.65 is: 2,548.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418.56 : 4,717.62 = 1,846.65 : x
  2. Step 2: Convert to fraction form
    3,418.56/4,717.62 = 1,846.65/x
  3. Step 3: Cross multiply
    3,418.56x = 4,717.62 × 1,846.65
  4. Step 4: Simplify right side
    3,418.56x = 8,711,794.94
  5. Step 5: Solve for x
    x = 8,711,794.94/3,418.56
  6. Step 6: Final answer
    x = 2,548.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.