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Finding the Fourth Proportional to 3,502.03, 5,248.09 and 1,942.75

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Solution

The fourth proportional to 3,502.03, 5,248.09 and 1,942.75 is: 2,911.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.03 : 5,248.09 = 1,942.75 : x
  2. Step 2: Convert to fraction form
    3,502.03/5,248.09 = 1,942.75/x
  3. Step 3: Cross multiply
    3,502.03x = 5,248.09 × 1,942.75
  4. Step 4: Simplify right side
    3,502.03x = 10,195,726.85
  5. Step 5: Solve for x
    x = 10,195,726.85/3,502.03
  6. Step 6: Final answer
    x = 2,911.38

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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.