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Finding the Fourth Proportional to 5,318.68, 7,975.02 and 2,546.02

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Solution

The fourth proportional to 5,318.68, 7,975.02 and 2,546.02 is: 3,817.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,318.68 : 7,975.02 = 2,546.02 : x
  2. Step 2: Convert to fraction form
    5,318.68/7,975.02 = 2,546.02/x
  3. Step 3: Cross multiply
    5,318.68x = 7,975.02 × 2,546.02
  4. Step 4: Simplify right side
    5,318.68x = 20,304,560.42
  5. Step 5: Solve for x
    x = 20,304,560.42/5,318.68
  6. Step 6: Final answer
    x = 3,817.59

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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.