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Finding the Fourth Proportional to 4,192, 5,786.40 and 2,536

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Solution

The fourth proportional to 4,192, 5,786.40 and 2,536 is: 3,500.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,192 : 5,786.40 = 2,536 : x
  2. Step 2: Convert to fraction form
    4,192/5,786.40 = 2,536/x
  3. Step 3: Cross multiply
    4,192x = 5,786.40 × 2,536
  4. Step 4: Simplify right side
    4,192x = 14,674,310.40
  5. Step 5: Solve for x
    x = 14,674,310.40/4,192
  6. Step 6: Final answer
    x = 3,500.55

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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.