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Finding the Fourth Proportional to 3,454.50, 5,177.09 and 1,892.15

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Solution

The fourth proportional to 3,454.50, 5,177.09 and 1,892.15 is: 2,835.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.50 : 5,177.09 = 1,892.15 : x
  2. Step 2: Convert to fraction form
    3,454.50/5,177.09 = 1,892.15/x
  3. Step 3: Cross multiply
    3,454.50x = 5,177.09 × 1,892.15
  4. Step 4: Simplify right side
    3,454.50x = 9,795,795.50
  5. Step 5: Solve for x
    x = 9,795,795.50/3,454.50
  6. Step 6: Final answer
    x = 2,835.66

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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.