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Finding the Fourth Proportional to 3,605.21, 5,371.97 and 3,212.19

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Solution

The fourth proportional to 3,605.21, 5,371.97 and 3,212.19 is: 4,786.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.21 : 5,371.97 = 3,212.19 : x
  2. Step 2: Convert to fraction form
    3,605.21/5,371.97 = 3,212.19/x
  3. Step 3: Cross multiply
    3,605.21x = 5,371.97 × 3,212.19
  4. Step 4: Simplify right side
    3,605.21x = 17,255,788.31
  5. Step 5: Solve for x
    x = 17,255,788.31/3,605.21
  6. Step 6: Final answer
    x = 4,786.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.