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Finding the Fourth Proportional to 3,883.68, 5,361.12 and 3,680.10

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Solution

The fourth proportional to 3,883.68, 5,361.12 and 3,680.10 is: 5,080.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.68 : 5,361.12 = 3,680.10 : x
  2. Step 2: Convert to fraction form
    3,883.68/5,361.12 = 3,680.10/x
  3. Step 3: Cross multiply
    3,883.68x = 5,361.12 × 3,680.10
  4. Step 4: Simplify right side
    3,883.68x = 19,729,457.71
  5. Step 5: Solve for x
    x = 19,729,457.71/3,883.68
  6. Step 6: Final answer
    x = 5,080.09

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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.