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Finding the Fourth Proportional to 3,640.84, 5,021.16 and 2,380.88

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Solution

The fourth proportional to 3,640.84, 5,021.16 and 2,380.88 is: 3,283.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.84 : 5,021.16 = 2,380.88 : x
  2. Step 2: Convert to fraction form
    3,640.84/5,021.16 = 2,380.88/x
  3. Step 3: Cross multiply
    3,640.84x = 5,021.16 × 2,380.88
  4. Step 4: Simplify right side
    3,640.84x = 11,954,779.42
  5. Step 5: Solve for x
    x = 11,954,779.42/3,640.84
  6. Step 6: Final answer
    x = 3,283.52

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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.