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Finding the Fourth Proportional to 3,698.97, 5,550.49 and 2,056.42

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Solution

The fourth proportional to 3,698.97, 5,550.49 and 2,056.42 is: 3,085.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.97 : 5,550.49 = 2,056.42 : x
  2. Step 2: Convert to fraction form
    3,698.97/5,550.49 = 2,056.42/x
  3. Step 3: Cross multiply
    3,698.97x = 5,550.49 × 2,056.42
  4. Step 4: Simplify right side
    3,698.97x = 11,414,148.15
  5. Step 5: Solve for x
    x = 11,414,148.15/3,698.97
  6. Step 6: Final answer
    x = 3,085.77

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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.