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Finding the Fourth Proportional to 5,212.76, 7,821.31 and 2,094.98

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Solution

The fourth proportional to 5,212.76, 7,821.31 and 2,094.98 is: 3,143.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.76 : 7,821.31 = 2,094.98 : x
  2. Step 2: Convert to fraction form
    5,212.76/7,821.31 = 2,094.98/x
  3. Step 3: Cross multiply
    5,212.76x = 7,821.31 × 2,094.98
  4. Step 4: Simplify right side
    5,212.76x = 16,385,513.60
  5. Step 5: Solve for x
    x = 16,385,513.60/5,212.76
  6. Step 6: Final answer
    x = 3,143.35

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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.