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Finding the Fourth Proportional to 3,662.46, 5,494.50 and 2,018.16

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Solution

The fourth proportional to 3,662.46, 5,494.50 and 2,018.16 is: 3,027.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.46 : 5,494.50 = 2,018.16 : x
  2. Step 2: Convert to fraction form
    3,662.46/5,494.50 = 2,018.16/x
  3. Step 3: Cross multiply
    3,662.46x = 5,494.50 × 2,018.16
  4. Step 4: Simplify right side
    3,662.46x = 11,088,780.12
  5. Step 5: Solve for x
    x = 11,088,780.12/3,662.46
  6. Step 6: Final answer
    x = 3,027.69

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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.