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Finding the Fourth Proportional to 5,634.54, 8,452.62 and 1,739.25

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Solution

The fourth proportional to 5,634.54, 8,452.62 and 1,739.25 is: 2,609.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634.54 : 8,452.62 = 1,739.25 : x
  2. Step 2: Convert to fraction form
    5,634.54/8,452.62 = 1,739.25/x
  3. Step 3: Cross multiply
    5,634.54x = 8,452.62 × 1,739.25
  4. Step 4: Simplify right side
    5,634.54x = 14,701,219.34
  5. Step 5: Solve for x
    x = 14,701,219.34/5,634.54
  6. Step 6: Final answer
    x = 2,609.13

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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.