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Finding the Fourth Proportional to 3,650.72, 5,032.75 and 2,600.96

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Solution

The fourth proportional to 3,650.72, 5,032.75 and 2,600.96 is: 3,585.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650.72 : 5,032.75 = 2,600.96 : x
  2. Step 2: Convert to fraction form
    3,650.72/5,032.75 = 2,600.96/x
  3. Step 3: Cross multiply
    3,650.72x = 5,032.75 × 2,600.96
  4. Step 4: Simplify right side
    3,650.72x = 13,089,982.96
  5. Step 5: Solve for x
    x = 13,089,982.96/3,650.72
  6. Step 6: Final answer
    x = 3,585.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.