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Finding the Fourth Proportional to 3,915.84, 5,404.32 and 2,343.94

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Solution

The fourth proportional to 3,915.84, 5,404.32 and 2,343.94 is: 3,234.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.84 : 5,404.32 = 2,343.94 : x
  2. Step 2: Convert to fraction form
    3,915.84/5,404.32 = 2,343.94/x
  3. Step 3: Cross multiply
    3,915.84x = 5,404.32 × 2,343.94
  4. Step 4: Simplify right side
    3,915.84x = 12,667,388.31
  5. Step 5: Solve for x
    x = 12,667,388.31/3,915.84
  6. Step 6: Final answer
    x = 3,234.91

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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.