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Finding the Fourth Proportional to 5,241.26, 7,865.83 and 2,776.63

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Solution

The fourth proportional to 5,241.26, 7,865.83 and 2,776.63 is: 4,167.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,241.26 : 7,865.83 = 2,776.63 : x
  2. Step 2: Convert to fraction form
    5,241.26/7,865.83 = 2,776.63/x
  3. Step 3: Cross multiply
    5,241.26x = 7,865.83 × 2,776.63
  4. Step 4: Simplify right side
    5,241.26x = 21,840,505.92
  5. Step 5: Solve for x
    x = 21,840,505.92/5,241.26
  6. Step 6: Final answer
    x = 4,167.04

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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.