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Finding the Fourth Proportional to 3,469.38, 5,204.57 and 1,004.22

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Solution

The fourth proportional to 3,469.38, 5,204.57 and 1,004.22 is: 1,506.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.38 : 5,204.57 = 1,004.22 : x
  2. Step 2: Convert to fraction form
    3,469.38/5,204.57 = 1,004.22/x
  3. Step 3: Cross multiply
    3,469.38x = 5,204.57 × 1,004.22
  4. Step 4: Simplify right side
    3,469.38x = 5,226,533.29
  5. Step 5: Solve for x
    x = 5,226,533.29/3,469.38
  6. Step 6: Final answer
    x = 1,506.47

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1.5x scale

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.