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Finding the Fourth Proportional to 5,996.50, 8,993.06 and 3,590.62

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Solution

The fourth proportional to 5,996.50, 8,993.06 and 3,590.62 is: 5,384.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,996.50 : 8,993.06 = 3,590.62 : x
  2. Step 2: Convert to fraction form
    5,996.50/8,993.06 = 3,590.62/x
  3. Step 3: Cross multiply
    5,996.50x = 8,993.06 × 3,590.62
  4. Step 4: Simplify right side
    5,996.50x = 32,290,661.10
  5. Step 5: Solve for x
    x = 32,290,661.10/5,996.50
  6. Step 6: Final answer
    x = 5,384.92

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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.