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Finding the Fourth Proportional to 3,820.37, 5,731.16 and 1,354.83

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Solution

The fourth proportional to 3,820.37, 5,731.16 and 1,354.83 is: 2,032.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.37 : 5,731.16 = 1,354.83 : x
  2. Step 2: Convert to fraction form
    3,820.37/5,731.16 = 1,354.83/x
  3. Step 3: Cross multiply
    3,820.37x = 5,731.16 × 1,354.83
  4. Step 4: Simplify right side
    3,820.37x = 7,764,719.24
  5. Step 5: Solve for x
    x = 7,764,719.24/3,820.37
  6. Step 6: Final answer
    x = 2,032.45

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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.