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Finding the Fourth Proportional to 3,601.63, 5,399.22 and 1,411.89

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Solution

The fourth proportional to 3,601.63, 5,399.22 and 1,411.89 is: 2,116.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,601.63 : 5,399.22 = 1,411.89 : x
  2. Step 2: Convert to fraction form
    3,601.63/5,399.22 = 1,411.89/x
  3. Step 3: Cross multiply
    3,601.63x = 5,399.22 × 1,411.89
  4. Step 4: Simplify right side
    3,601.63x = 7,623,104.73
  5. Step 5: Solve for x
    x = 7,623,104.73/3,601.63
  6. Step 6: Final answer
    x = 2,116.57

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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.