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Finding the Fourth Proportional to 5,071.75, 6,998.75 and 2,833.72

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Solution

The fourth proportional to 5,071.75, 6,998.75 and 2,833.72 is: 3,910.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.75 : 6,998.75 = 2,833.72 : x
  2. Step 2: Convert to fraction form
    5,071.75/6,998.75 = 2,833.72/x
  3. Step 3: Cross multiply
    5,071.75x = 6,998.75 × 2,833.72
  4. Step 4: Simplify right side
    5,071.75x = 19,832,483.68
  5. Step 5: Solve for x
    x = 19,832,483.68/5,071.75
  6. Step 6: Final answer
    x = 3,910.38

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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.