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Finding the Fourth Proportional to 4,971.12, 7,440.46 and 3,654.53

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Solution

The fourth proportional to 4,971.12, 7,440.46 and 3,654.53 is: 5,469.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.12 : 7,440.46 = 3,654.53 : x
  2. Step 2: Convert to fraction form
    4,971.12/7,440.46 = 3,654.53/x
  3. Step 3: Cross multiply
    4,971.12x = 7,440.46 × 3,654.53
  4. Step 4: Simplify right side
    4,971.12x = 27,191,365.85
  5. Step 5: Solve for x
    x = 27,191,365.85/4,971.12
  6. Step 6: Final answer
    x = 5,469.86

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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.