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Finding the Fourth Proportional to 3,766.34, 5,649.51 and 1,817.17

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Solution

The fourth proportional to 3,766.34, 5,649.51 and 1,817.17 is: 2,725.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.34 : 5,649.51 = 1,817.17 : x
  2. Step 2: Convert to fraction form
    3,766.34/5,649.51 = 1,817.17/x
  3. Step 3: Cross multiply
    3,766.34x = 5,649.51 × 1,817.17
  4. Step 4: Simplify right side
    3,766.34x = 10,266,120.09
  5. Step 5: Solve for x
    x = 10,266,120.09/3,766.34
  6. Step 6: Final answer
    x = 2,725.76

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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.