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Finding the Fourth Proportional to 3,820.60, 5,730.22 and 1,321.80

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Solution

The fourth proportional to 3,820.60, 5,730.22 and 1,321.80 is: 1,982.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.60 : 5,730.22 = 1,321.80 : x
  2. Step 2: Convert to fraction form
    3,820.60/5,730.22 = 1,321.80/x
  3. Step 3: Cross multiply
    3,820.60x = 5,730.22 × 1,321.80
  4. Step 4: Simplify right side
    3,820.60x = 7,574,204.80
  5. Step 5: Solve for x
    x = 7,574,204.80/3,820.60
  6. Step 6: Final answer
    x = 1,982.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.