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Finding the Fourth Proportional to 3,086.75, 4,630.23 and 1,138.50

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Solution

The fourth proportional to 3,086.75, 4,630.23 and 1,138.50 is: 1,707.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.75 : 4,630.23 = 1,138.50 : x
  2. Step 2: Convert to fraction form
    3,086.75/4,630.23 = 1,138.50/x
  3. Step 3: Cross multiply
    3,086.75x = 4,630.23 × 1,138.50
  4. Step 4: Simplify right side
    3,086.75x = 5,271,516.86
  5. Step 5: Solve for x
    x = 5,271,516.86/3,086.75
  6. Step 6: Final answer
    x = 1,707.79

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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.