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Finding the Fourth Proportional to 4,546.62, 6,817.01 and 1,915.83

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Solution

The fourth proportional to 4,546.62, 6,817.01 and 1,915.83 is: 2,872.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.62 : 6,817.01 = 1,915.83 : x
  2. Step 2: Convert to fraction form
    4,546.62/6,817.01 = 1,915.83/x
  3. Step 3: Cross multiply
    4,546.62x = 6,817.01 × 1,915.83
  4. Step 4: Simplify right side
    4,546.62x = 13,060,222.69
  5. Step 5: Solve for x
    x = 13,060,222.69/4,546.62
  6. Step 6: Final answer
    x = 2,872.51

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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.