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Finding the Fourth Proportional to 4,986.33, 6,884.08 and 4,432.80

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Solution

The fourth proportional to 4,986.33, 6,884.08 and 4,432.80 is: 6,119.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,986.33 : 6,884.08 = 4,432.80 : x
  2. Step 2: Convert to fraction form
    4,986.33/6,884.08 = 4,432.80/x
  3. Step 3: Cross multiply
    4,986.33x = 6,884.08 × 4,432.80
  4. Step 4: Simplify right side
    4,986.33x = 30,515,749.82
  5. Step 5: Solve for x
    x = 30,515,749.82/4,986.33
  6. Step 6: Final answer
    x = 6,119.88

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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.