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Finding the Fourth Proportional to 3,687.44, 5,529.78 and 1,346.67

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Solution

The fourth proportional to 3,687.44, 5,529.78 and 1,346.67 is: 2,019.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.44 : 5,529.78 = 1,346.67 : x
  2. Step 2: Convert to fraction form
    3,687.44/5,529.78 = 1,346.67/x
  3. Step 3: Cross multiply
    3,687.44x = 5,529.78 × 1,346.67
  4. Step 4: Simplify right side
    3,687.44x = 7,446,788.83
  5. Step 5: Solve for x
    x = 7,446,788.83/3,687.44
  6. Step 6: Final answer
    x = 2,019.50

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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.