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Finding the Fourth Proportional to 4,049.30, 5,389.02 and 4,049.30

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Solution

The fourth proportional to 4,049.30, 5,389.02 and 4,049.30 is: 5,389.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,049.30 : 5,389.02 = 4,049.30 : x
  2. Step 2: Convert to fraction form
    4,049.30/5,389.02 = 4,049.30/x
  3. Step 3: Cross multiply
    4,049.30x = 5,389.02 × 4,049.30
  4. Step 4: Simplify right side
    4,049.30x = 21,821,758.69
  5. Step 5: Solve for x
    x = 21,821,758.69/4,049.30
  6. Step 6: Final answer
    x = 5,389.02

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.