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Finding the Fourth Proportional to 3,387.70, 5,080.47 and 1,744.03

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Solution

The fourth proportional to 3,387.70, 5,080.47 and 1,744.03 is: 2,615.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,387.70 : 5,080.47 = 1,744.03 : x
  2. Step 2: Convert to fraction form
    3,387.70/5,080.47 = 1,744.03/x
  3. Step 3: Cross multiply
    3,387.70x = 5,080.47 × 1,744.03
  4. Step 4: Simplify right side
    3,387.70x = 8,860,492.09
  5. Step 5: Solve for x
    x = 8,860,492.09/3,387.70
  6. Step 6: Final answer
    x = 2,615.49

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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.