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Finding the Fourth Proportional to 3,494.36, 5,228.97 and 2,304.26

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Solution

The fourth proportional to 3,494.36, 5,228.97 and 2,304.26 is: 3,448.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.36 : 5,228.97 = 2,304.26 : x
  2. Step 2: Convert to fraction form
    3,494.36/5,228.97 = 2,304.26/x
  3. Step 3: Cross multiply
    3,494.36x = 5,228.97 × 2,304.26
  4. Step 4: Simplify right side
    3,494.36x = 12,048,906.41
  5. Step 5: Solve for x
    x = 12,048,906.41/3,494.36
  6. Step 6: Final answer
    x = 3,448.10

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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.