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Finding the Fourth Proportional to 3,714.33, 5,571.66 and 2,069.64

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Solution

The fourth proportional to 3,714.33, 5,571.66 and 2,069.64 is: 3,104.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.33 : 5,571.66 = 2,069.64 : x
  2. Step 2: Convert to fraction form
    3,714.33/5,571.66 = 2,069.64/x
  3. Step 3: Cross multiply
    3,714.33x = 5,571.66 × 2,069.64
  4. Step 4: Simplify right side
    3,714.33x = 11,531,330.40
  5. Step 5: Solve for x
    x = 11,531,330.40/3,714.33
  6. Step 6: Final answer
    x = 3,104.55

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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.