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Finding the Fourth Proportional to 3,915.49, 5,872.32 and 1,836.93

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Solution

The fourth proportional to 3,915.49, 5,872.32 and 1,836.93 is: 2,754.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.49 : 5,872.32 = 1,836.93 : x
  2. Step 2: Convert to fraction form
    3,915.49/5,872.32 = 1,836.93/x
  3. Step 3: Cross multiply
    3,915.49x = 5,872.32 × 1,836.93
  4. Step 4: Simplify right side
    3,915.49x = 10,787,034.93
  5. Step 5: Solve for x
    x = 10,787,034.93/3,915.49
  6. Step 6: Final answer
    x = 2,754.96

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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.