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Finding the Fourth Proportional to 5,729.44, 8,593 and 2,031.60

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Solution

The fourth proportional to 5,729.44, 8,593 and 2,031.60 is: 3,046.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.44 : 8,593 = 2,031.60 : x
  2. Step 2: Convert to fraction form
    5,729.44/8,593 = 2,031.60/x
  3. Step 3: Cross multiply
    5,729.44x = 8,593 × 2,031.60
  4. Step 4: Simplify right side
    5,729.44x = 17,457,538.80
  5. Step 5: Solve for x
    x = 17,457,538.80/5,729.44
  6. Step 6: Final answer
    x = 3,046.99

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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.