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Finding the Fourth Proportional to 3,662.14, 5,494.12 and 2,103.14

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Solution

The fourth proportional to 3,662.14, 5,494.12 and 2,103.14 is: 3,155.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.14 : 5,494.12 = 2,103.14 : x
  2. Step 2: Convert to fraction form
    3,662.14/5,494.12 = 2,103.14/x
  3. Step 3: Cross multiply
    3,662.14x = 5,494.12 × 2,103.14
  4. Step 4: Simplify right side
    3,662.14x = 11,554,917.93
  5. Step 5: Solve for x
    x = 11,554,917.93/3,662.14
  6. Step 6: Final answer
    x = 3,155.24

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1.5x scale

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.