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Finding the Fourth Proportional to 5,986.64, 8,984.28 and 3,394.64

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Solution

The fourth proportional to 5,986.64, 8,984.28 and 3,394.64 is: 5,094.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986.64 : 8,984.28 = 3,394.64 : x
  2. Step 2: Convert to fraction form
    5,986.64/8,984.28 = 3,394.64/x
  3. Step 3: Cross multiply
    5,986.64x = 8,984.28 × 3,394.64
  4. Step 4: Simplify right side
    5,986.64x = 30,498,396.26
  5. Step 5: Solve for x
    x = 30,498,396.26/5,986.64
  6. Step 6: Final answer
    x = 5,094.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.