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Finding the Fourth Proportional to 3,469.52, 5,203.46 and 1,003.68

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Solution

The fourth proportional to 3,469.52, 5,203.46 and 1,003.68 is: 1,505.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.52 : 5,203.46 = 1,003.68 : x
  2. Step 2: Convert to fraction form
    3,469.52/5,203.46 = 1,003.68/x
  3. Step 3: Cross multiply
    3,469.52x = 5,203.46 × 1,003.68
  4. Step 4: Simplify right side
    3,469.52x = 5,222,603.71
  5. Step 5: Solve for x
    x = 5,222,603.71/3,469.52
  6. Step 6: Final answer
    x = 1,505.28

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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.