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Finding the Fourth Proportional to 5,475, 7,555.50 and 3,380.88

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Solution

The fourth proportional to 5,475, 7,555.50 and 3,380.88 is: 4,665.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,475 : 7,555.50 = 3,380.88 : x
  2. Step 2: Convert to fraction form
    5,475/7,555.50 = 3,380.88/x
  3. Step 3: Cross multiply
    5,475x = 7,555.50 × 3,380.88
  4. Step 4: Simplify right side
    5,475x = 25,544,238.84
  5. Step 5: Solve for x
    x = 25,544,238.84/5,475
  6. Step 6: Final answer
    x = 4,665.61

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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.