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Finding the Fourth Proportional to 3,741.26, 5,162.84 and 2,062.61

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Solution

The fourth proportional to 3,741.26, 5,162.84 and 2,062.61 is: 2,846.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741.26 : 5,162.84 = 2,062.61 : x
  2. Step 2: Convert to fraction form
    3,741.26/5,162.84 = 2,062.61/x
  3. Step 3: Cross multiply
    3,741.26x = 5,162.84 × 2,062.61
  4. Step 4: Simplify right side
    3,741.26x = 10,648,916.38
  5. Step 5: Solve for x
    x = 10,648,916.38/3,741.26
  6. Step 6: Final answer
    x = 2,846.35

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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.