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Finding the Fourth Proportional to 5,373, 7,414.74 and 3,165

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Solution

The fourth proportional to 5,373, 7,414.74 and 3,165 is: 4,367.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,373 : 7,414.74 = 3,165 : x
  2. Step 2: Convert to fraction form
    5,373/7,414.74 = 3,165/x
  3. Step 3: Cross multiply
    5,373x = 7,414.74 × 3,165
  4. Step 4: Simplify right side
    5,373x = 23,467,652.10
  5. Step 5: Solve for x
    x = 23,467,652.10/5,373
  6. Step 6: Final answer
    x = 4,367.70

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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.