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Finding the Fourth Proportional to 4,194.41, 5,785.13 and 4,008.29

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Solution

The fourth proportional to 4,194.41, 5,785.13 and 4,008.29 is: 5,528.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.41 : 5,785.13 = 4,008.29 : x
  2. Step 2: Convert to fraction form
    4,194.41/5,785.13 = 4,008.29/x
  3. Step 3: Cross multiply
    4,194.41x = 5,785.13 × 4,008.29
  4. Step 4: Simplify right side
    4,194.41x = 23,188,459.82
  5. Step 5: Solve for x
    x = 23,188,459.82/4,194.41
  6. Step 6: Final answer
    x = 5,528.43

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1.5x scale

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.