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Finding the Fourth Proportional to 3,597.69, 5,388.70 and 1,744.88

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Solution

The fourth proportional to 3,597.69, 5,388.70 and 1,744.88 is: 2,613.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.69 : 5,388.70 = 1,744.88 : x
  2. Step 2: Convert to fraction form
    3,597.69/5,388.70 = 1,744.88/x
  3. Step 3: Cross multiply
    3,597.69x = 5,388.70 × 1,744.88
  4. Step 4: Simplify right side
    3,597.69x = 9,402,634.86
  5. Step 5: Solve for x
    x = 9,402,634.86/3,597.69
  6. Step 6: Final answer
    x = 2,613.52

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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.