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Finding the Fourth Proportional to 2,823.72, 3,893 and 2,317.72

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Solution

The fourth proportional to 2,823.72, 3,893 and 2,317.72 is: 3,195.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.72 : 3,893 = 2,317.72 : x
  2. Step 2: Convert to fraction form
    2,823.72/3,893 = 2,317.72/x
  3. Step 3: Cross multiply
    2,823.72x = 3,893 × 2,317.72
  4. Step 4: Simplify right side
    2,823.72x = 9,022,883.96
  5. Step 5: Solve for x
    x = 9,022,883.96/2,823.72
  6. Step 6: Final answer
    x = 3,195.39

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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.