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Finding the Fourth Proportional to 3,441.80, 4,650.08 and 3,441.80

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Solution

The fourth proportional to 3,441.80, 4,650.08 and 3,441.80 is: 4,650.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.80 : 4,650.08 = 3,441.80 : x
  2. Step 2: Convert to fraction form
    3,441.80/4,650.08 = 3,441.80/x
  3. Step 3: Cross multiply
    3,441.80x = 4,650.08 × 3,441.80
  4. Step 4: Simplify right side
    3,441.80x = 16,004,645.34
  5. Step 5: Solve for x
    x = 16,004,645.34/3,441.80
  6. Step 6: Final answer
    x = 4,650.08

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.