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Finding the Fourth Proportional to 3,915.14, 5,872.14 and 1,141.07

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Solution

The fourth proportional to 3,915.14, 5,872.14 and 1,141.07 is: 1,711.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.14 : 5,872.14 = 1,141.07 : x
  2. Step 2: Convert to fraction form
    3,915.14/5,872.14 = 1,141.07/x
  3. Step 3: Cross multiply
    3,915.14x = 5,872.14 × 1,141.07
  4. Step 4: Simplify right side
    3,915.14x = 6,700,522.21
  5. Step 5: Solve for x
    x = 6,700,522.21/3,915.14
  6. Step 6: Final answer
    x = 1,711.44

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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.