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Finding the Fourth Proportional to 5,809.54, 8,709.45 and 4,049.38

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Solution

The fourth proportional to 5,809.54, 8,709.45 and 4,049.38 is: 6,070.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.54 : 8,709.45 = 4,049.38 : x
  2. Step 2: Convert to fraction form
    5,809.54/8,709.45 = 4,049.38/x
  3. Step 3: Cross multiply
    5,809.54x = 8,709.45 × 4,049.38
  4. Step 4: Simplify right side
    5,809.54x = 35,267,872.64
  5. Step 5: Solve for x
    x = 35,267,872.64/5,809.54
  6. Step 6: Final answer
    x = 6,070.68

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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.