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Finding the Fourth Proportional to 3,609.74, 5,414.88 and 1,012.88

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Solution

The fourth proportional to 3,609.74, 5,414.88 and 1,012.88 is: 1,519.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.74 : 5,414.88 = 1,012.88 : x
  2. Step 2: Convert to fraction form
    3,609.74/5,414.88 = 1,012.88/x
  3. Step 3: Cross multiply
    3,609.74x = 5,414.88 × 1,012.88
  4. Step 4: Simplify right side
    3,609.74x = 5,484,623.65
  5. Step 5: Solve for x
    x = 5,484,623.65/3,609.74
  6. Step 6: Final answer
    x = 1,519.40

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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.