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Finding the Fourth Proportional to 3,863.72, 5,788.96 and 2,594.89

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Solution

The fourth proportional to 3,863.72, 5,788.96 and 2,594.89 is: 3,887.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.72 : 5,788.96 = 2,594.89 : x
  2. Step 2: Convert to fraction form
    3,863.72/5,788.96 = 2,594.89/x
  3. Step 3: Cross multiply
    3,863.72x = 5,788.96 × 2,594.89
  4. Step 4: Simplify right side
    3,863.72x = 15,021,672.50
  5. Step 5: Solve for x
    x = 15,021,672.50/3,863.72
  6. Step 6: Final answer
    x = 3,887.88

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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.