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Finding the Fourth Proportional to 3,677.80, 5,079.42 and 2,496.80

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Solution

The fourth proportional to 3,677.80, 5,079.42 and 2,496.80 is: 3,448.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.80 : 5,079.42 = 2,496.80 : x
  2. Step 2: Convert to fraction form
    3,677.80/5,079.42 = 2,496.80/x
  3. Step 3: Cross multiply
    3,677.80x = 5,079.42 × 2,496.80
  4. Step 4: Simplify right side
    3,677.80x = 12,682,295.86
  5. Step 5: Solve for x
    x = 12,682,295.86/3,677.80
  6. Step 6: Final answer
    x = 3,448.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.