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Finding the Fourth Proportional to 3,253, 4,489.64 and 2,074.44

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Solution

The fourth proportional to 3,253, 4,489.64 and 2,074.44 is: 2,863.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,253 : 4,489.64 = 2,074.44 : x
  2. Step 2: Convert to fraction form
    3,253/4,489.64 = 2,074.44/x
  3. Step 3: Cross multiply
    3,253x = 4,489.64 × 2,074.44
  4. Step 4: Simplify right side
    3,253x = 9,313,488.80
  5. Step 5: Solve for x
    x = 9,313,488.80/3,253
  6. Step 6: Final answer
    x = 2,863.05

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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.