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Finding the Fourth Proportional to 5,241.78, 7,869.96 and 2,777.76

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Solution

The fourth proportional to 5,241.78, 7,869.96 and 2,777.76 is: 4,170.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,241.78 : 7,869.96 = 2,777.76 : x
  2. Step 2: Convert to fraction form
    5,241.78/7,869.96 = 2,777.76/x
  3. Step 3: Cross multiply
    5,241.78x = 7,869.96 × 2,777.76
  4. Step 4: Simplify right side
    5,241.78x = 21,860,860.09
  5. Step 5: Solve for x
    x = 21,860,860.09/5,241.78
  6. Step 6: Final answer
    x = 4,170.50

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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.