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Finding the Fourth Proportional to 5,890.36, 8,832.76 and 1,729.28

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Solution

The fourth proportional to 5,890.36, 8,832.76 and 1,729.28 is: 2,593.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.36 : 8,832.76 = 1,729.28 : x
  2. Step 2: Convert to fraction form
    5,890.36/8,832.76 = 1,729.28/x
  3. Step 3: Cross multiply
    5,890.36x = 8,832.76 × 1,729.28
  4. Step 4: Simplify right side
    5,890.36x = 15,274,315.21
  5. Step 5: Solve for x
    x = 15,274,315.21/5,890.36
  6. Step 6: Final answer
    x = 2,593.10

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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.