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Finding the Fourth Proportional to 5,682.75, 7,841.56 and 3,164.28

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Solution

The fourth proportional to 5,682.75, 7,841.56 and 3,164.28 is: 4,366.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.75 : 7,841.56 = 3,164.28 : x
  2. Step 2: Convert to fraction form
    5,682.75/7,841.56 = 3,164.28/x
  3. Step 3: Cross multiply
    5,682.75x = 7,841.56 × 3,164.28
  4. Step 4: Simplify right side
    5,682.75x = 24,812,891.48
  5. Step 5: Solve for x
    x = 24,812,891.48/5,682.75
  6. Step 6: Final answer
    x = 4,366.35

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