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Finding the Fourth Proportional to 3,820.50, 5,734.83 and 1,630.26

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Solution

The fourth proportional to 3,820.50, 5,734.83 and 1,630.26 is: 2,447.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.50 : 5,734.83 = 1,630.26 : x
  2. Step 2: Convert to fraction form
    3,820.50/5,734.83 = 1,630.26/x
  3. Step 3: Cross multiply
    3,820.50x = 5,734.83 × 1,630.26
  4. Step 4: Simplify right side
    3,820.50x = 9,349,263.96
  5. Step 5: Solve for x
    x = 9,349,263.96/3,820.50
  6. Step 6: Final answer
    x = 2,447.13

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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.