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Finding the Fourth Proportional to 5,617, 7,754.34 and 3,523.24

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Solution

The fourth proportional to 5,617, 7,754.34 and 3,523.24 is: 4,863.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617 : 7,754.34 = 3,523.24 : x
  2. Step 2: Convert to fraction form
    5,617/7,754.34 = 3,523.24/x
  3. Step 3: Cross multiply
    5,617x = 7,754.34 × 3,523.24
  4. Step 4: Simplify right side
    5,617x = 27,320,400.86
  5. Step 5: Solve for x
    x = 27,320,400.86/5,617
  6. Step 6: Final answer
    x = 4,863.88

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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.