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Finding the Fourth Proportional to 5,505.82, 7,600 and 3,267.69

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Solution

The fourth proportional to 5,505.82, 7,600 and 3,267.69 is: 4,510.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,505.82 : 7,600 = 3,267.69 : x
  2. Step 2: Convert to fraction form
    5,505.82/7,600 = 3,267.69/x
  3. Step 3: Cross multiply
    5,505.82x = 7,600 × 3,267.69
  4. Step 4: Simplify right side
    5,505.82x = 24,834,444
  5. Step 5: Solve for x
    x = 24,834,444/5,505.82
  6. Step 6: Final answer
    x = 4,510.58

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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.