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Finding the Fourth Proportional to 3,426, 4,727.96 and 1,933.90

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Solution

The fourth proportional to 3,426, 4,727.96 and 1,933.90 is: 2,668.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426 : 4,727.96 = 1,933.90 : x
  2. Step 2: Convert to fraction form
    3,426/4,727.96 = 1,933.90/x
  3. Step 3: Cross multiply
    3,426x = 4,727.96 × 1,933.90
  4. Step 4: Simplify right side
    3,426x = 9,143,401.84
  5. Step 5: Solve for x
    x = 9,143,401.84/3,426
  6. Step 6: Final answer
    x = 2,668.83

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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.