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Finding the Fourth Proportional to 3,597.72, 5,388.78 and 1,744.95

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Solution

The fourth proportional to 3,597.72, 5,388.78 and 1,744.95 is: 2,613.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.72 : 5,388.78 = 1,744.95 : x
  2. Step 2: Convert to fraction form
    3,597.72/5,388.78 = 1,744.95/x
  3. Step 3: Cross multiply
    3,597.72x = 5,388.78 × 1,744.95
  4. Step 4: Simplify right side
    3,597.72x = 9,403,118.22
  5. Step 5: Solve for x
    x = 9,403,118.22/3,597.72
  6. Step 6: Final answer
    x = 2,613.63

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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.