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Finding the Fourth Proportional to 5,212.86, 7,813.80 and 3,238.50

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Solution

The fourth proportional to 5,212.86, 7,813.80 and 3,238.50 is: 4,854.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.86 : 7,813.80 = 3,238.50 : x
  2. Step 2: Convert to fraction form
    5,212.86/7,813.80 = 3,238.50/x
  3. Step 3: Cross multiply
    5,212.86x = 7,813.80 × 3,238.50
  4. Step 4: Simplify right side
    5,212.86x = 25,304,991.30
  5. Step 5: Solve for x
    x = 25,304,991.30/5,212.86
  6. Step 6: Final answer
    x = 4,854.34

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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.