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Finding the Fourth Proportional to 5,289.60, 7,933.23 and 2,002.62

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Solution

The fourth proportional to 5,289.60, 7,933.23 and 2,002.62 is: 3,003.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.60 : 7,933.23 = 2,002.62 : x
  2. Step 2: Convert to fraction form
    5,289.60/7,933.23 = 2,002.62/x
  3. Step 3: Cross multiply
    5,289.60x = 7,933.23 × 2,002.62
  4. Step 4: Simplify right side
    5,289.60x = 15,887,245.06
  5. Step 5: Solve for x
    x = 15,887,245.06/5,289.60
  6. Step 6: Final answer
    x = 3,003.49

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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.