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Finding the Fourth Proportional to 3,672.55, 5,507.70 and 1,206.80

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Solution

The fourth proportional to 3,672.55, 5,507.70 and 1,206.80 is: 1,809.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.55 : 5,507.70 = 1,206.80 : x
  2. Step 2: Convert to fraction form
    3,672.55/5,507.70 = 1,206.80/x
  3. Step 3: Cross multiply
    3,672.55x = 5,507.70 × 1,206.80
  4. Step 4: Simplify right side
    3,672.55x = 6,646,692.36
  5. Step 5: Solve for x
    x = 6,646,692.36/3,672.55
  6. Step 6: Final answer
    x = 1,809.83

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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.