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Finding the Fourth Proportional to 4,275, 5,899.77 and 2,412

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Solution

The fourth proportional to 4,275, 5,899.77 and 2,412 is: 3,328.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275 : 5,899.77 = 2,412 : x
  2. Step 2: Convert to fraction form
    4,275/5,899.77 = 2,412/x
  3. Step 3: Cross multiply
    4,275x = 5,899.77 × 2,412
  4. Step 4: Simplify right side
    4,275x = 14,230,245.24
  5. Step 5: Solve for x
    x = 14,230,245.24/4,275
  6. Step 6: Final answer
    x = 3,328.71

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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.