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Finding the Fourth Proportional to 3,322.64, 4,984.56 and 1,375

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Solution

The fourth proportional to 3,322.64, 4,984.56 and 1,375 is: 2,062.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.64 : 4,984.56 = 1,375 : x
  2. Step 2: Convert to fraction form
    3,322.64/4,984.56 = 1,375/x
  3. Step 3: Cross multiply
    3,322.64x = 4,984.56 × 1,375
  4. Step 4: Simplify right side
    3,322.64x = 6,853,770.00
  5. Step 5: Solve for x
    x = 6,853,770.00/3,322.64
  6. Step 6: Final answer
    x = 2,062.75

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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.