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Finding the Fourth Proportional to 4,155.86, 6,233.88 and 1,234.37

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Solution

The fourth proportional to 4,155.86, 6,233.88 and 1,234.37 is: 1,851.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.86 : 6,233.88 = 1,234.37 : x
  2. Step 2: Convert to fraction form
    4,155.86/6,233.88 = 1,234.37/x
  3. Step 3: Cross multiply
    4,155.86x = 6,233.88 × 1,234.37
  4. Step 4: Simplify right side
    4,155.86x = 7,694,914.46
  5. Step 5: Solve for x
    x = 7,694,914.46/4,155.86
  6. Step 6: Final answer
    x = 1,851.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.