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Finding the Fourth Proportional to 3,644.30, 5,028.97 and 2,230.34

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Solution

The fourth proportional to 3,644.30, 5,028.97 and 2,230.34 is: 3,077.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.30 : 5,028.97 = 2,230.34 : x
  2. Step 2: Convert to fraction form
    3,644.30/5,028.97 = 2,230.34/x
  3. Step 3: Cross multiply
    3,644.30x = 5,028.97 × 2,230.34
  4. Step 4: Simplify right side
    3,644.30x = 11,216,312.95
  5. Step 5: Solve for x
    x = 11,216,312.95/3,644.30
  6. Step 6: Final answer
    x = 3,077.77

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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.