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Finding the Fourth Proportional to 3,754.52, 5,181.54 and 2,182.50

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Solution

The fourth proportional to 3,754.52, 5,181.54 and 2,182.50 is: 3,012.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.52 : 5,181.54 = 2,182.50 : x
  2. Step 2: Convert to fraction form
    3,754.52/5,181.54 = 2,182.50/x
  3. Step 3: Cross multiply
    3,754.52x = 5,181.54 × 2,182.50
  4. Step 4: Simplify right side
    3,754.52x = 11,308,711.05
  5. Step 5: Solve for x
    x = 11,308,711.05/3,754.52
  6. Step 6: Final answer
    x = 3,012.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.