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Finding the Fourth Proportional to 3,820.44, 5,730.24 and 2,359.20

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Solution

The fourth proportional to 3,820.44, 5,730.24 and 2,359.20 is: 3,538.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.44 : 5,730.24 = 2,359.20 : x
  2. Step 2: Convert to fraction form
    3,820.44/5,730.24 = 2,359.20/x
  3. Step 3: Cross multiply
    3,820.44x = 5,730.24 × 2,359.20
  4. Step 4: Simplify right side
    3,820.44x = 13,518,753.56
  5. Step 5: Solve for x
    x = 13,518,753.56/3,820.44
  6. Step 6: Final answer
    x = 3,538.54

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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.