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Finding the Fourth Proportional to 3,644.49, 5,455.98 and 2,471.43

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Solution

The fourth proportional to 3,644.49, 5,455.98 and 2,471.43 is: 3,699.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.49 : 5,455.98 = 2,471.43 : x
  2. Step 2: Convert to fraction form
    3,644.49/5,455.98 = 2,471.43/x
  3. Step 3: Cross multiply
    3,644.49x = 5,455.98 × 2,471.43
  4. Step 4: Simplify right side
    3,644.49x = 13,484,072.65
  5. Step 5: Solve for x
    x = 13,484,072.65/3,644.49
  6. Step 6: Final answer
    x = 3,699.85

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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.