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Finding the Fourth Proportional to 3,883.84, 5,824.74 and 2,651.02

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Solution

The fourth proportional to 3,883.84, 5,824.74 and 2,651.02 is: 3,975.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.84 : 5,824.74 = 2,651.02 : x
  2. Step 2: Convert to fraction form
    3,883.84/5,824.74 = 2,651.02/x
  3. Step 3: Cross multiply
    3,883.84x = 5,824.74 × 2,651.02
  4. Step 4: Simplify right side
    3,883.84x = 15,441,502.23
  5. Step 5: Solve for x
    x = 15,441,502.23/3,883.84
  6. Step 6: Final answer
    x = 3,975.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.