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Finding the Fourth Proportional to 3,426.25, 4,727.97 and 1,934.32

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Solution

The fourth proportional to 3,426.25, 4,727.97 and 1,934.32 is: 2,669.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.25 : 4,727.97 = 1,934.32 : x
  2. Step 2: Convert to fraction form
    3,426.25/4,727.97 = 1,934.32/x
  3. Step 3: Cross multiply
    3,426.25x = 4,727.97 × 1,934.32
  4. Step 4: Simplify right side
    3,426.25x = 9,145,406.93
  5. Step 5: Solve for x
    x = 9,145,406.93/3,426.25
  6. Step 6: Final answer
    x = 2,669.22

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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.