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Finding the Fourth Proportional to 5,289.60, 7,939.20 and 4,197.12

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Solution

The fourth proportional to 5,289.60, 7,939.20 and 4,197.12 is: 6,299.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.60 : 7,939.20 = 4,197.12 : x
  2. Step 2: Convert to fraction form
    5,289.60/7,939.20 = 4,197.12/x
  3. Step 3: Cross multiply
    5,289.60x = 7,939.20 × 4,197.12
  4. Step 4: Simplify right side
    5,289.60x = 33,321,775.10
  5. Step 5: Solve for x
    x = 33,321,775.10/5,289.60
  6. Step 6: Final answer
    x = 6,299.49

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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.