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Finding the Fourth Proportional to 3,412.36, 4,697.68 and 3,255.62

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Solution

The fourth proportional to 3,412.36, 4,697.68 and 3,255.62 is: 4,481.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.36 : 4,697.68 = 3,255.62 : x
  2. Step 2: Convert to fraction form
    3,412.36/4,697.68 = 3,255.62/x
  3. Step 3: Cross multiply
    3,412.36x = 4,697.68 × 3,255.62
  4. Step 4: Simplify right side
    3,412.36x = 15,293,844.68
  5. Step 5: Solve for x
    x = 15,293,844.68/3,412.36
  6. Step 6: Final answer
    x = 4,481.90

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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.