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Finding the Fourth Proportional to 3,814.83, 5,720.63 and 1,734.21

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Solution

The fourth proportional to 3,814.83, 5,720.63 and 1,734.21 is: 2,600.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.83 : 5,720.63 = 1,734.21 : x
  2. Step 2: Convert to fraction form
    3,814.83/5,720.63 = 1,734.21/x
  3. Step 3: Cross multiply
    3,814.83x = 5,720.63 × 1,734.21
  4. Step 4: Simplify right side
    3,814.83x = 9,920,765.08
  5. Step 5: Solve for x
    x = 9,920,765.08/3,814.83
  6. Step 6: Final answer
    x = 2,600.58

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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.