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Finding the Fourth Proportional to 3,205.98, 4,424.49 and 3,103.92

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Solution

The fourth proportional to 3,205.98, 4,424.49 and 3,103.92 is: 4,283.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.98 : 4,424.49 = 3,103.92 : x
  2. Step 2: Convert to fraction form
    3,205.98/4,424.49 = 3,103.92/x
  3. Step 3: Cross multiply
    3,205.98x = 4,424.49 × 3,103.92
  4. Step 4: Simplify right side
    3,205.98x = 13,733,263.00
  5. Step 5: Solve for x
    x = 13,733,263.00/3,205.98
  6. Step 6: Final answer
    x = 4,283.64

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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.