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Finding the Fourth Proportional to 5,473.47, 8,202.50 and 3,129.96

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Solution

The fourth proportional to 5,473.47, 8,202.50 and 3,129.96 is: 4,690.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,473.47 : 8,202.50 = 3,129.96 : x
  2. Step 2: Convert to fraction form
    5,473.47/8,202.50 = 3,129.96/x
  3. Step 3: Cross multiply
    5,473.47x = 8,202.50 × 3,129.96
  4. Step 4: Simplify right side
    5,473.47x = 25,673,481.25
  5. Step 5: Solve for x
    x = 25,673,481.25/5,473.47
  6. Step 6: Final answer
    x = 4,690.53

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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.