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Finding the Fourth Proportional to 3,644.49, 5,028.09 and 2,151.66

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Solution

The fourth proportional to 3,644.49, 5,028.09 and 2,151.66 is: 2,968.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.49 : 5,028.09 = 2,151.66 : x
  2. Step 2: Convert to fraction form
    3,644.49/5,028.09 = 2,151.66/x
  3. Step 3: Cross multiply
    3,644.49x = 5,028.09 × 2,151.66
  4. Step 4: Simplify right side
    3,644.49x = 10,818,714.99
  5. Step 5: Solve for x
    x = 10,818,714.99/3,644.49
  6. Step 6: Final answer
    x = 2,968.52

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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.