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Finding the Fourth Proportional to 3,425.76, 4,727.46 and 1,933.64

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Solution

The fourth proportional to 3,425.76, 4,727.46 and 1,933.64 is: 2,668.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.76 : 4,727.46 = 1,933.64 : x
  2. Step 2: Convert to fraction form
    3,425.76/4,727.46 = 1,933.64/x
  3. Step 3: Cross multiply
    3,425.76x = 4,727.46 × 1,933.64
  4. Step 4: Simplify right side
    3,425.76x = 9,141,207.10
  5. Step 5: Solve for x
    x = 9,141,207.10/3,425.76
  6. Step 6: Final answer
    x = 2,668.37

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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.