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Finding the Fourth Proportional to 5,209.66, 7,807.69 and 4,549.97

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Solution

The fourth proportional to 5,209.66, 7,807.69 and 4,549.97 is: 6,819.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.66 : 7,807.69 = 4,549.97 : x
  2. Step 2: Convert to fraction form
    5,209.66/7,807.69 = 4,549.97/x
  3. Step 3: Cross multiply
    5,209.66x = 7,807.69 × 4,549.97
  4. Step 4: Simplify right side
    5,209.66x = 35,524,735.75
  5. Step 5: Solve for x
    x = 35,524,735.75/5,209.66
  6. Step 6: Final answer
    x = 6,819.02

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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.