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Finding the Fourth Proportional to 3,849.84, 5,763.76 and 3,164.56

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Solution

The fourth proportional to 3,849.84, 5,763.76 and 3,164.56 is: 4,737.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.84 : 5,763.76 = 3,164.56 : x
  2. Step 2: Convert to fraction form
    3,849.84/5,763.76 = 3,164.56/x
  3. Step 3: Cross multiply
    3,849.84x = 5,763.76 × 3,164.56
  4. Step 4: Simplify right side
    3,849.84x = 18,239,764.35
  5. Step 5: Solve for x
    x = 18,239,764.35/3,849.84
  6. Step 6: Final answer
    x = 4,737.80

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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.