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Finding the Fourth Proportional to 5,241.96, 7,861.50 and 1,953.27

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Solution

The fourth proportional to 5,241.96, 7,861.50 and 1,953.27 is: 2,929.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,241.96 : 7,861.50 = 1,953.27 : x
  2. Step 2: Convert to fraction form
    5,241.96/7,861.50 = 1,953.27/x
  3. Step 3: Cross multiply
    5,241.96x = 7,861.50 × 1,953.27
  4. Step 4: Simplify right side
    5,241.96x = 15,355,632.11
  5. Step 5: Solve for x
    x = 15,355,632.11/5,241.96
  6. Step 6: Final answer
    x = 2,929.37

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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.