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Finding the Fourth Proportional to 3,682.14, 5,523 and 908.66

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Solution

The fourth proportional to 3,682.14, 5,523 and 908.66 is: 1,362.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.14 : 5,523 = 908.66 : x
  2. Step 2: Convert to fraction form
    3,682.14/5,523 = 908.66/x
  3. Step 3: Cross multiply
    3,682.14x = 5,523 × 908.66
  4. Step 4: Simplify right side
    3,682.14x = 5,018,529.18
  5. Step 5: Solve for x
    x = 5,018,529.18/3,682.14
  6. Step 6: Final answer
    x = 1,362.94

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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.