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Finding the Fourth Proportional to 3,468, 5,200.38 and 1,157.88

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Solution

The fourth proportional to 3,468, 5,200.38 and 1,157.88 is: 1,736.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468 : 5,200.38 = 1,157.88 : x
  2. Step 2: Convert to fraction form
    3,468/5,200.38 = 1,157.88/x
  3. Step 3: Cross multiply
    3,468x = 5,200.38 × 1,157.88
  4. Step 4: Simplify right side
    3,468x = 6,021,415.99
  5. Step 5: Solve for x
    x = 6,021,415.99/3,468
  6. Step 6: Final answer
    x = 1,736.28

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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.