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Finding the Fourth Proportional to 4,188, 5,805.20 and 4,118.28

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Solution

The fourth proportional to 4,188, 5,805.20 and 4,118.28 is: 5,708.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188 : 5,805.20 = 4,118.28 : x
  2. Step 2: Convert to fraction form
    4,188/5,805.20 = 4,118.28/x
  3. Step 3: Cross multiply
    4,188x = 5,805.20 × 4,118.28
  4. Step 4: Simplify right side
    4,188x = 23,907,439.06
  5. Step 5: Solve for x
    x = 23,907,439.06/4,188
  6. Step 6: Final answer
    x = 5,708.56

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.