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Finding the Fourth Proportional to 3,788.84, 5,227.73 and 2,173.00

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Solution

The fourth proportional to 3,788.84, 5,227.73 and 2,173.00 is: 2,998.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.84 : 5,227.73 = 2,173.00 : x
  2. Step 2: Convert to fraction form
    3,788.84/5,227.73 = 2,173.00/x
  3. Step 3: Cross multiply
    3,788.84x = 5,227.73 × 2,173.00
  4. Step 4: Simplify right side
    3,788.84x = 11,359,861.11
  5. Step 5: Solve for x
    x = 11,359,861.11/3,788.84
  6. Step 6: Final answer
    x = 2,998.24

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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.