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Finding the Fourth Proportional to 5,661.28, 8,469.84 and 5,004.64

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Solution

The fourth proportional to 5,661.28, 8,469.84 and 5,004.64 is: 7,487.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.28 : 8,469.84 = 5,004.64 : x
  2. Step 2: Convert to fraction form
    5,661.28/8,469.84 = 5,004.64/x
  3. Step 3: Cross multiply
    5,661.28x = 8,469.84 × 5,004.64
  4. Step 4: Simplify right side
    5,661.28x = 42,388,500.06
  5. Step 5: Solve for x
    x = 42,388,500.06/5,661.28
  6. Step 6: Final answer
    x = 7,487.44

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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.