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Finding the Fourth Proportional to 3,468.47, 5,202.48 and 1,003.23

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Solution

The fourth proportional to 3,468.47, 5,202.48 and 1,003.23 is: 1,504.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.47 : 5,202.48 = 1,003.23 : x
  2. Step 2: Convert to fraction form
    3,468.47/5,202.48 = 1,003.23/x
  3. Step 3: Cross multiply
    3,468.47x = 5,202.48 × 1,003.23
  4. Step 4: Simplify right side
    3,468.47x = 5,219,284.01
  5. Step 5: Solve for x
    x = 5,219,284.01/3,468.47
  6. Step 6: Final answer
    x = 1,504.78

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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.