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Finding the Fourth Proportional to 3,382.83, 5,071.14 and 2,146.50

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Solution

The fourth proportional to 3,382.83, 5,071.14 and 2,146.50 is: 3,217.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.83 : 5,071.14 = 2,146.50 : x
  2. Step 2: Convert to fraction form
    3,382.83/5,071.14 = 2,146.50/x
  3. Step 3: Cross multiply
    3,382.83x = 5,071.14 × 2,146.50
  4. Step 4: Simplify right side
    3,382.83x = 10,885,202.01
  5. Step 5: Solve for x
    x = 10,885,202.01/3,382.83
  6. Step 6: Final answer
    x = 3,217.78

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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.