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Finding the Fourth Proportional to 5,682.24, 7,841.38 and 3,164.29

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Solution

The fourth proportional to 5,682.24, 7,841.38 and 3,164.29 is: 4,366.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.24 : 7,841.38 = 3,164.29 : x
  2. Step 2: Convert to fraction form
    5,682.24/7,841.38 = 3,164.29/x
  3. Step 3: Cross multiply
    5,682.24x = 7,841.38 × 3,164.29
  4. Step 4: Simplify right side
    5,682.24x = 24,812,400.32
  5. Step 5: Solve for x
    x = 24,812,400.32/5,682.24
  6. Step 6: Final answer
    x = 4,366.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.