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Finding the Fourth Proportional to 4,201.50, 5,801.31 and 3,321.84

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Solution

The fourth proportional to 4,201.50, 5,801.31 and 3,321.84 is: 4,586.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.50 : 5,801.31 = 3,321.84 : x
  2. Step 2: Convert to fraction form
    4,201.50/5,801.31 = 3,321.84/x
  3. Step 3: Cross multiply
    4,201.50x = 5,801.31 × 3,321.84
  4. Step 4: Simplify right side
    4,201.50x = 19,271,023.61
  5. Step 5: Solve for x
    x = 19,271,023.61/4,201.50
  6. Step 6: Final answer
    x = 4,586.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.