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Finding the Fourth Proportional to 3,169.63, 4,375.29 and 2,837.46

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Solution

The fourth proportional to 3,169.63, 4,375.29 and 2,837.46 is: 3,916.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.63 : 4,375.29 = 2,837.46 : x
  2. Step 2: Convert to fraction form
    3,169.63/4,375.29 = 2,837.46/x
  3. Step 3: Cross multiply
    3,169.63x = 4,375.29 × 2,837.46
  4. Step 4: Simplify right side
    3,169.63x = 12,414,710.36
  5. Step 5: Solve for x
    x = 12,414,710.36/3,169.63
  6. Step 6: Final answer
    x = 3,916.77

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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.