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Finding the Fourth Proportional to 3,419.35, 4,723.46 and 3,241.96

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Solution

The fourth proportional to 3,419.35, 4,723.46 and 3,241.96 is: 4,478.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.35 : 4,723.46 = 3,241.96 : x
  2. Step 2: Convert to fraction form
    3,419.35/4,723.46 = 3,241.96/x
  3. Step 3: Cross multiply
    3,419.35x = 4,723.46 × 3,241.96
  4. Step 4: Simplify right side
    3,419.35x = 15,313,268.38
  5. Step 5: Solve for x
    x = 15,313,268.38/3,419.35
  6. Step 6: Final answer
    x = 4,478.42

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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.