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Finding the Fourth Proportional to 5,727.34, 7,904.22 and 3,209.41

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Solution

The fourth proportional to 5,727.34, 7,904.22 and 3,209.41 is: 4,429.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,727.34 : 7,904.22 = 3,209.41 : x
  2. Step 2: Convert to fraction form
    5,727.34/7,904.22 = 3,209.41/x
  3. Step 3: Cross multiply
    5,727.34x = 7,904.22 × 3,209.41
  4. Step 4: Simplify right side
    5,727.34x = 25,367,880.56
  5. Step 5: Solve for x
    x = 25,367,880.56/5,727.34
  6. Step 6: Final answer
    x = 4,429.26

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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.