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Finding the Fourth Proportional to 3,476.82, 5,208.28 and 2,089.41

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Solution

The fourth proportional to 3,476.82, 5,208.28 and 2,089.41 is: 3,129.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.82 : 5,208.28 = 2,089.41 : x
  2. Step 2: Convert to fraction form
    3,476.82/5,208.28 = 2,089.41/x
  3. Step 3: Cross multiply
    3,476.82x = 5,208.28 × 2,089.41
  4. Step 4: Simplify right side
    3,476.82x = 10,882,211.50
  5. Step 5: Solve for x
    x = 10,882,211.50/3,476.82
  6. Step 6: Final answer
    x = 3,129.93

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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.