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Finding the Fourth Proportional to 3,286.32, 4,933.80 and 3,014.64

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Solution

The fourth proportional to 3,286.32, 4,933.80 and 3,014.64 is: 4,525.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.32 : 4,933.80 = 3,014.64 : x
  2. Step 2: Convert to fraction form
    3,286.32/4,933.80 = 3,014.64/x
  3. Step 3: Cross multiply
    3,286.32x = 4,933.80 × 3,014.64
  4. Step 4: Simplify right side
    3,286.32x = 14,873,630.83
  5. Step 5: Solve for x
    x = 14,873,630.83/3,286.32
  6. Step 6: Final answer
    x = 4,525.92

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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.