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Finding the Fourth Proportional to 6,092.24, 9,152.96 and 3,905.24

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Solution

The fourth proportional to 6,092.24, 9,152.96 and 3,905.24 is: 5,867.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.24 : 9,152.96 = 3,905.24 : x
  2. Step 2: Convert to fraction form
    6,092.24/9,152.96 = 3,905.24/x
  3. Step 3: Cross multiply
    6,092.24x = 9,152.96 × 3,905.24
  4. Step 4: Simplify right side
    6,092.24x = 35,744,505.51
  5. Step 5: Solve for x
    x = 35,744,505.51/6,092.24
  6. Step 6: Final answer
    x = 5,867.22

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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.