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Finding the Fourth Proportional to 5,575.68, 7,694.12 and 3,057.30

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Solution

The fourth proportional to 5,575.68, 7,694.12 and 3,057.30 is: 4,218.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,575.68 : 7,694.12 = 3,057.30 : x
  2. Step 2: Convert to fraction form
    5,575.68/7,694.12 = 3,057.30/x
  3. Step 3: Cross multiply
    5,575.68x = 7,694.12 × 3,057.30
  4. Step 4: Simplify right side
    5,575.68x = 23,523,240.72
  5. Step 5: Solve for x
    x = 23,523,240.72/5,575.68
  6. Step 6: Final answer
    x = 4,218.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.