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Finding the Fourth Proportional to 5,995.36, 8,988.72 and 3,682

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Solution

The fourth proportional to 5,995.36, 8,988.72 and 3,682 is: 5,520.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,995.36 : 8,988.72 = 3,682 : x
  2. Step 2: Convert to fraction form
    5,995.36/8,988.72 = 3,682/x
  3. Step 3: Cross multiply
    5,995.36x = 8,988.72 × 3,682
  4. Step 4: Simplify right side
    5,995.36x = 33,096,467.04
  5. Step 5: Solve for x
    x = 33,096,467.04/5,995.36
  6. Step 6: Final answer
    x = 5,520.35

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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.