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Finding the Fourth Proportional to 3,468.36, 5,203.08 and 1,003.20

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Solution

The fourth proportional to 3,468.36, 5,203.08 and 1,003.20 is: 1,504.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.36 : 5,203.08 = 1,003.20 : x
  2. Step 2: Convert to fraction form
    3,468.36/5,203.08 = 1,003.20/x
  3. Step 3: Cross multiply
    3,468.36x = 5,203.08 × 1,003.20
  4. Step 4: Simplify right side
    3,468.36x = 5,219,729.86
  5. Step 5: Solve for x
    x = 5,219,729.86/3,468.36
  6. Step 6: Final answer
    x = 1,504.96

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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.