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Finding the Fourth Proportional to 3,450.76, 5,176.20 and 1,142.32

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Solution

The fourth proportional to 3,450.76, 5,176.20 and 1,142.32 is: 1,713.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.76 : 5,176.20 = 1,142.32 : x
  2. Step 2: Convert to fraction form
    3,450.76/5,176.20 = 1,142.32/x
  3. Step 3: Cross multiply
    3,450.76x = 5,176.20 × 1,142.32
  4. Step 4: Simplify right side
    3,450.76x = 5,912,876.78
  5. Step 5: Solve for x
    x = 5,912,876.78/3,450.76
  6. Step 6: Final answer
    x = 1,713.50

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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.