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Finding the Fourth Proportional to 7,241.04, 9,992.04 and 4,098

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Solution

The fourth proportional to 7,241.04, 9,992.04 and 4,098 is: 5,654.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.04 : 9,992.04 = 4,098 : x
  2. Step 2: Convert to fraction form
    7,241.04/9,992.04 = 4,098/x
  3. Step 3: Cross multiply
    7,241.04x = 9,992.04 × 4,098
  4. Step 4: Simplify right side
    7,241.04x = 40,947,379.92
  5. Step 5: Solve for x
    x = 40,947,379.92/7,241.04
  6. Step 6: Final answer
    x = 5,654.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.