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Finding the Fourth Proportional to 5,812.36, 8,716.50 and 1,915.72

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Solution

The fourth proportional to 5,812.36, 8,716.50 and 1,915.72 is: 2,872.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.36 : 8,716.50 = 1,915.72 : x
  2. Step 2: Convert to fraction form
    5,812.36/8,716.50 = 1,915.72/x
  3. Step 3: Cross multiply
    5,812.36x = 8,716.50 × 1,915.72
  4. Step 4: Simplify right side
    5,812.36x = 16,698,373.38
  5. Step 5: Solve for x
    x = 16,698,373.38/5,812.36
  6. Step 6: Final answer
    x = 2,872.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.