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Finding the Fourth Proportional to 3,672.64, 5,506.89 and 1,206.80

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Solution

The fourth proportional to 3,672.64, 5,506.89 and 1,206.80 is: 1,809.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.64 : 5,506.89 = 1,206.80 : x
  2. Step 2: Convert to fraction form
    3,672.64/5,506.89 = 1,206.80/x
  3. Step 3: Cross multiply
    3,672.64x = 5,506.89 × 1,206.80
  4. Step 4: Simplify right side
    3,672.64x = 6,645,703.44
  5. Step 5: Solve for x
    x = 6,645,703.44/3,672.64
  6. Step 6: Final answer
    x = 1,809.52

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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.