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Finding the Fourth Proportional to 4,986.48, 6,884.13 and 3,922.14

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Solution

The fourth proportional to 4,986.48, 6,884.13 and 3,922.14 is: 5,414.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,986.48 : 6,884.13 = 3,922.14 : x
  2. Step 2: Convert to fraction form
    4,986.48/6,884.13 = 3,922.14/x
  3. Step 3: Cross multiply
    4,986.48x = 6,884.13 × 3,922.14
  4. Step 4: Simplify right side
    4,986.48x = 27,000,521.64
  5. Step 5: Solve for x
    x = 27,000,521.64/4,986.48
  6. Step 6: Final answer
    x = 5,414.75

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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.