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Finding the Fourth Proportional to 3,682.84, 5,080.58 and 2,189.88

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Solution

The fourth proportional to 3,682.84, 5,080.58 and 2,189.88 is: 3,021.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.84 : 5,080.58 = 2,189.88 : x
  2. Step 2: Convert to fraction form
    3,682.84/5,080.58 = 2,189.88/x
  3. Step 3: Cross multiply
    3,682.84x = 5,080.58 × 2,189.88
  4. Step 4: Simplify right side
    3,682.84x = 11,125,860.53
  5. Step 5: Solve for x
    x = 11,125,860.53/3,682.84
  6. Step 6: Final answer
    x = 3,021.00

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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.