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Finding the Fourth Proportional to 4,194.32, 5,795.46 and 3,447.71

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Solution

The fourth proportional to 4,194.32, 5,795.46 and 3,447.71 is: 4,763.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.32 : 5,795.46 = 3,447.71 : x
  2. Step 2: Convert to fraction form
    4,194.32/5,795.46 = 3,447.71/x
  3. Step 3: Cross multiply
    4,194.32x = 5,795.46 × 3,447.71
  4. Step 4: Simplify right side
    4,194.32x = 19,981,065.40
  5. Step 5: Solve for x
    x = 19,981,065.40/4,194.32
  6. Step 6: Final answer
    x = 4,763.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.