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Finding the Fourth Proportional to 6,187.20, 9,289.04 and 3,592

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Solution

The fourth proportional to 6,187.20, 9,289.04 and 3,592 is: 5,392.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,187.20 : 9,289.04 = 3,592 : x
  2. Step 2: Convert to fraction form
    6,187.20/9,289.04 = 3,592/x
  3. Step 3: Cross multiply
    6,187.20x = 9,289.04 × 3,592
  4. Step 4: Simplify right side
    6,187.20x = 33,366,231.68
  5. Step 5: Solve for x
    x = 33,366,231.68/6,187.20
  6. Step 6: Final answer
    x = 5,392.78

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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.