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Finding the Fourth Proportional to 4,212.78, 5,814.03 and 2,420.50

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Solution

The fourth proportional to 4,212.78, 5,814.03 and 2,420.50 is: 3,340.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212.78 : 5,814.03 = 2,420.50 : x
  2. Step 2: Convert to fraction form
    4,212.78/5,814.03 = 2,420.50/x
  3. Step 3: Cross multiply
    4,212.78x = 5,814.03 × 2,420.50
  4. Step 4: Simplify right side
    4,212.78x = 14,072,859.62
  5. Step 5: Solve for x
    x = 14,072,859.62/4,212.78
  6. Step 6: Final answer
    x = 3,340.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.