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Finding the Fourth Proportional to 3,867.96, 5,800.23 and 1,234.98

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Solution

The fourth proportional to 3,867.96, 5,800.23 and 1,234.98 is: 1,851.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.96 : 5,800.23 = 1,234.98 : x
  2. Step 2: Convert to fraction form
    3,867.96/5,800.23 = 1,234.98/x
  3. Step 3: Cross multiply
    3,867.96x = 5,800.23 × 1,234.98
  4. Step 4: Simplify right side
    3,867.96x = 7,163,168.05
  5. Step 5: Solve for x
    x = 7,163,168.05/3,867.96
  6. Step 6: Final answer
    x = 1,851.92

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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.