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Finding the Fourth Proportional to 5,455.82, 8,182.44 and 2,532.50

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Solution

The fourth proportional to 5,455.82, 8,182.44 and 2,532.50 is: 3,798.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,455.82 : 8,182.44 = 2,532.50 : x
  2. Step 2: Convert to fraction form
    5,455.82/8,182.44 = 2,532.50/x
  3. Step 3: Cross multiply
    5,455.82x = 8,182.44 × 2,532.50
  4. Step 4: Simplify right side
    5,455.82x = 20,722,029.30
  5. Step 5: Solve for x
    x = 20,722,029.30/5,455.82
  6. Step 6: Final answer
    x = 3,798.15

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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.