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Finding the Fourth Proportional to 3,422.91, 4,723.61 and 1,851

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Solution

The fourth proportional to 3,422.91, 4,723.61 and 1,851 is: 2,554.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.91 : 4,723.61 = 1,851 : x
  2. Step 2: Convert to fraction form
    3,422.91/4,723.61 = 1,851/x
  3. Step 3: Cross multiply
    3,422.91x = 4,723.61 × 1,851
  4. Step 4: Simplify right side
    3,422.91x = 8,743,402.11
  5. Step 5: Solve for x
    x = 8,743,402.11/3,422.91
  6. Step 6: Final answer
    x = 2,554.38

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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.