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Finding the Fourth Proportional to 4,971.87, 7,451.09 and 1,892.19

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Solution

The fourth proportional to 4,971.87, 7,451.09 and 1,892.19 is: 2,835.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.87 : 7,451.09 = 1,892.19 : x
  2. Step 2: Convert to fraction form
    4,971.87/7,451.09 = 1,892.19/x
  3. Step 3: Cross multiply
    4,971.87x = 7,451.09 × 1,892.19
  4. Step 4: Simplify right side
    4,971.87x = 14,098,868.53
  5. Step 5: Solve for x
    x = 14,098,868.53/4,971.87
  6. Step 6: Final answer
    x = 2,835.73

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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.