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Finding the Fourth Proportional to 3,424.59, 5,145.56 and 3,286.20

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Solution

The fourth proportional to 3,424.59, 5,145.56 and 3,286.20 is: 4,937.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.59 : 5,145.56 = 3,286.20 : x
  2. Step 2: Convert to fraction form
    3,424.59/5,145.56 = 3,286.20/x
  3. Step 3: Cross multiply
    3,424.59x = 5,145.56 × 3,286.20
  4. Step 4: Simplify right side
    3,424.59x = 16,909,322.84
  5. Step 5: Solve for x
    x = 16,909,322.84/3,424.59
  6. Step 6: Final answer
    x = 4,937.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.