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Finding the Fourth Proportional to 3,872.25, 5,805.99 and 2,311.95

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Solution

The fourth proportional to 3,872.25, 5,805.99 and 2,311.95 is: 3,466.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.25 : 5,805.99 = 2,311.95 : x
  2. Step 2: Convert to fraction form
    3,872.25/5,805.99 = 2,311.95/x
  3. Step 3: Cross multiply
    3,872.25x = 5,805.99 × 2,311.95
  4. Step 4: Simplify right side
    3,872.25x = 13,423,158.58
  5. Step 5: Solve for x
    x = 13,423,158.58/3,872.25
  6. Step 6: Final answer
    x = 3,466.50

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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.