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Finding the Fourth Proportional to 3,539.28, 5,310.20 and 1,714

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Solution

The fourth proportional to 3,539.28, 5,310.20 and 1,714 is: 2,571.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.28 : 5,310.20 = 1,714 : x
  2. Step 2: Convert to fraction form
    3,539.28/5,310.20 = 1,714/x
  3. Step 3: Cross multiply
    3,539.28x = 5,310.20 × 1,714
  4. Step 4: Simplify right side
    3,539.28x = 9,101,682.80
  5. Step 5: Solve for x
    x = 9,101,682.80/3,539.28
  6. Step 6: Final answer
    x = 2,571.62

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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.