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Finding the Fourth Proportional to 5,575.52, 7,694.19 and 3,057.64

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Solution

The fourth proportional to 5,575.52, 7,694.19 and 3,057.64 is: 4,219.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,575.52 : 7,694.19 = 3,057.64 : x
  2. Step 2: Convert to fraction form
    5,575.52/7,694.19 = 3,057.64/x
  3. Step 3: Cross multiply
    5,575.52x = 7,694.19 × 3,057.64
  4. Step 4: Simplify right side
    5,575.52x = 23,526,043.88
  5. Step 5: Solve for x
    x = 23,526,043.88/5,575.52
  6. Step 6: Final answer
    x = 4,219.52

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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.