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Finding the Fourth Proportional to 4,941.48, 7,412.22 and 2,272.80

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Solution

The fourth proportional to 4,941.48, 7,412.22 and 2,272.80 is: 3,409.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,941.48 : 7,412.22 = 2,272.80 : x
  2. Step 2: Convert to fraction form
    4,941.48/7,412.22 = 2,272.80/x
  3. Step 3: Cross multiply
    4,941.48x = 7,412.22 × 2,272.80
  4. Step 4: Simplify right side
    4,941.48x = 16,846,493.62
  5. Step 5: Solve for x
    x = 16,846,493.62/4,941.48
  6. Step 6: Final answer
    x = 3,409.20

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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.