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Finding the Fourth Proportional to 3,996.67, 5,992.41 and 1,656.04

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Solution

The fourth proportional to 3,996.67, 5,992.41 and 1,656.04 is: 2,482.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,996.67 : 5,992.41 = 1,656.04 : x
  2. Step 2: Convert to fraction form
    3,996.67/5,992.41 = 1,656.04/x
  3. Step 3: Cross multiply
    3,996.67x = 5,992.41 × 1,656.04
  4. Step 4: Simplify right side
    3,996.67x = 9,923,670.66
  5. Step 5: Solve for x
    x = 9,923,670.66/3,996.67
  6. Step 6: Final answer
    x = 2,482.98

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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.