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Finding the Fourth Proportional to 3,234.88, 4,843.14 and 2,927.32

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Solution

The fourth proportional to 3,234.88, 4,843.14 and 2,927.32 is: 4,382.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.88 : 4,843.14 = 2,927.32 : x
  2. Step 2: Convert to fraction form
    3,234.88/4,843.14 = 2,927.32/x
  3. Step 3: Cross multiply
    3,234.88x = 4,843.14 × 2,927.32
  4. Step 4: Simplify right side
    3,234.88x = 14,177,420.58
  5. Step 5: Solve for x
    x = 14,177,420.58/3,234.88
  6. Step 6: Final answer
    x = 4,382.67

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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.