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Finding the Fourth Proportional to 3,450.50, 5,176.56 and 1,142

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Solution

The fourth proportional to 3,450.50, 5,176.56 and 1,142 is: 1,713.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.50 : 5,176.56 = 1,142 : x
  2. Step 2: Convert to fraction form
    3,450.50/5,176.56 = 1,142/x
  3. Step 3: Cross multiply
    3,450.50x = 5,176.56 × 1,142
  4. Step 4: Simplify right side
    3,450.50x = 5,911,631.52
  5. Step 5: Solve for x
    x = 5,911,631.52/3,450.50
  6. Step 6: Final answer
    x = 1,713.27

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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.