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Finding the Fourth Proportional to 5,029.18, 6,940.80 and 3,832

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Solution

The fourth proportional to 5,029.18, 6,940.80 and 3,832 is: 5,288.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,029.18 : 6,940.80 = 3,832 : x
  2. Step 2: Convert to fraction form
    5,029.18/6,940.80 = 3,832/x
  3. Step 3: Cross multiply
    5,029.18x = 6,940.80 × 3,832
  4. Step 4: Simplify right side
    5,029.18x = 26,597,145.60
  5. Step 5: Solve for x
    x = 26,597,145.60/5,029.18
  6. Step 6: Final answer
    x = 5,288.57

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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.