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Finding the Fourth Proportional to 3,205.41, 4,414.62 and 3,038.67

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Solution

The fourth proportional to 3,205.41, 4,414.62 and 3,038.67 is: 4,184.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.41 : 4,414.62 = 3,038.67 : x
  2. Step 2: Convert to fraction form
    3,205.41/4,414.62 = 3,038.67/x
  3. Step 3: Cross multiply
    3,205.41x = 4,414.62 × 3,038.67
  4. Step 4: Simplify right side
    3,205.41x = 13,414,573.36
  5. Step 5: Solve for x
    x = 13,414,573.36/3,205.41
  6. Step 6: Final answer
    x = 4,184.98

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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.