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Finding the Fourth Proportional to 5,244.84, 7,850.79 and 2,776.50

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Solution

The fourth proportional to 5,244.84, 7,850.79 and 2,776.50 is: 4,156.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,244.84 : 7,850.79 = 2,776.50 : x
  2. Step 2: Convert to fraction form
    5,244.84/7,850.79 = 2,776.50/x
  3. Step 3: Cross multiply
    5,244.84x = 7,850.79 × 2,776.50
  4. Step 4: Simplify right side
    5,244.84x = 21,797,718.44
  5. Step 5: Solve for x
    x = 21,797,718.44/5,244.84
  6. Step 6: Final answer
    x = 4,156.03

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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.