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Finding the Fourth Proportional to 5,176.50, 7,740.89 and 3,844.80

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Solution

The fourth proportional to 5,176.50, 7,740.89 and 3,844.80 is: 5,749.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.50 : 7,740.89 = 3,844.80 : x
  2. Step 2: Convert to fraction form
    5,176.50/7,740.89 = 3,844.80/x
  3. Step 3: Cross multiply
    5,176.50x = 7,740.89 × 3,844.80
  4. Step 4: Simplify right side
    5,176.50x = 29,762,173.87
  5. Step 5: Solve for x
    x = 29,762,173.87/5,176.50
  6. Step 6: Final answer
    x = 5,749.48

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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.