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Finding the Fourth Proportional to 3,467.99, 5,201.21 and 1,002.26

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Solution

The fourth proportional to 3,467.99, 5,201.21 and 1,002.26 is: 1,503.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.99 : 5,201.21 = 1,002.26 : x
  2. Step 2: Convert to fraction form
    3,467.99/5,201.21 = 1,002.26/x
  3. Step 3: Cross multiply
    3,467.99x = 5,201.21 × 1,002.26
  4. Step 4: Simplify right side
    3,467.99x = 5,212,980.24
  5. Step 5: Solve for x
    x = 5,212,980.24/3,467.99
  6. Step 6: Final answer
    x = 1,503.17

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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.