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Finding the Fourth Proportional to 4,278.69, 6,402.38 and 2,524.50

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Solution

The fourth proportional to 4,278.69, 6,402.38 and 2,524.50 is: 3,777.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,278.69 : 6,402.38 = 2,524.50 : x
  2. Step 2: Convert to fraction form
    4,278.69/6,402.38 = 2,524.50/x
  3. Step 3: Cross multiply
    4,278.69x = 6,402.38 × 2,524.50
  4. Step 4: Simplify right side
    4,278.69x = 16,162,795.69
  5. Step 5: Solve for x
    x = 16,162,795.69/4,278.69
  6. Step 6: Final answer
    x = 3,777.51

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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.