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Finding the Fourth Proportional to 3,234.12, 4,852.06 and 1,753

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Solution

The fourth proportional to 3,234.12, 4,852.06 and 1,753 is: 2,629.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.12 : 4,852.06 = 1,753 : x
  2. Step 2: Convert to fraction form
    3,234.12/4,852.06 = 1,753/x
  3. Step 3: Cross multiply
    3,234.12x = 4,852.06 × 1,753
  4. Step 4: Simplify right side
    3,234.12x = 8,505,661.18
  5. Step 5: Solve for x
    x = 8,505,661.18/3,234.12
  6. Step 6: Final answer
    x = 2,629.98

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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.