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Finding the Fourth Proportional to 5,589.88, 7,714.24 and 3,200.28

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Solution

The fourth proportional to 5,589.88, 7,714.24 and 3,200.28 is: 4,416.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.88 : 7,714.24 = 3,200.28 : x
  2. Step 2: Convert to fraction form
    5,589.88/7,714.24 = 3,200.28/x
  3. Step 3: Cross multiply
    5,589.88x = 7,714.24 × 3,200.28
  4. Step 4: Simplify right side
    5,589.88x = 24,687,727.99
  5. Step 5: Solve for x
    x = 24,687,727.99/5,589.88
  6. Step 6: Final answer
    x = 4,416.50

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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.