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Finding the Fourth Proportional to 5,635.89, 8,452.89 and 1,739.25

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Solution

The fourth proportional to 5,635.89, 8,452.89 and 1,739.25 is: 2,608.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.89 : 8,452.89 = 1,739.25 : x
  2. Step 2: Convert to fraction form
    5,635.89/8,452.89 = 1,739.25/x
  3. Step 3: Cross multiply
    5,635.89x = 8,452.89 × 1,739.25
  4. Step 4: Simplify right side
    5,635.89x = 14,701,688.93
  5. Step 5: Solve for x
    x = 14,701,688.93/5,635.89
  6. Step 6: Final answer
    x = 2,608.58

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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.