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Finding the Fourth Proportional to 3,468.26, 5,200.88 and 1,003.03

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Solution

The fourth proportional to 3,468.26, 5,200.88 and 1,003.03 is: 1,504.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.26 : 5,200.88 = 1,003.03 : x
  2. Step 2: Convert to fraction form
    3,468.26/5,200.88 = 1,003.03/x
  3. Step 3: Cross multiply
    3,468.26x = 5,200.88 × 1,003.03
  4. Step 4: Simplify right side
    3,468.26x = 5,216,620.65
  5. Step 5: Solve for x
    x = 5,216,620.65/3,468.26
  6. Step 6: Final answer
    x = 1,504.10

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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.