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Finding the Fourth Proportional to 3,788.74, 5,676.54 and 2,323.54

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Solution

The fourth proportional to 3,788.74, 5,676.54 and 2,323.54 is: 3,481.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.74 : 5,676.54 = 2,323.54 : x
  2. Step 2: Convert to fraction form
    3,788.74/5,676.54 = 2,323.54/x
  3. Step 3: Cross multiply
    3,788.74x = 5,676.54 × 2,323.54
  4. Step 4: Simplify right side
    3,788.74x = 13,189,667.75
  5. Step 5: Solve for x
    x = 13,189,667.75/3,788.74
  6. Step 6: Final answer
    x = 3,481.28

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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.