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Finding the Fourth Proportional to 4,194, 5,785.52 and 2,514.60

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Solution

The fourth proportional to 4,194, 5,785.52 and 2,514.60 is: 3,468.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194 : 5,785.52 = 2,514.60 : x
  2. Step 2: Convert to fraction form
    4,194/5,785.52 = 2,514.60/x
  3. Step 3: Cross multiply
    4,194x = 5,785.52 × 2,514.60
  4. Step 4: Simplify right side
    4,194x = 14,548,268.59
  5. Step 5: Solve for x
    x = 14,548,268.59/4,194
  6. Step 6: Final answer
    x = 3,468.83

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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.