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Finding the Fourth Proportional to 5,173.89, 7,747.07 and 3,533.64

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Solution

The fourth proportional to 5,173.89, 7,747.07 and 3,533.64 is: 5,291.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173.89 : 7,747.07 = 3,533.64 : x
  2. Step 2: Convert to fraction form
    5,173.89/7,747.07 = 3,533.64/x
  3. Step 3: Cross multiply
    5,173.89x = 7,747.07 × 3,533.64
  4. Step 4: Simplify right side
    5,173.89x = 27,375,338.77
  5. Step 5: Solve for x
    x = 27,375,338.77/5,173.89
  6. Step 6: Final answer
    x = 5,291.06

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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.