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Finding the Fourth Proportional to 5,973.72, 8,243.84 and 3,285.05

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Solution

The fourth proportional to 5,973.72, 8,243.84 and 3,285.05 is: 4,533.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,973.72 : 8,243.84 = 3,285.05 : x
  2. Step 2: Convert to fraction form
    5,973.72/8,243.84 = 3,285.05/x
  3. Step 3: Cross multiply
    5,973.72x = 8,243.84 × 3,285.05
  4. Step 4: Simplify right side
    5,973.72x = 27,081,410.17
  5. Step 5: Solve for x
    x = 27,081,410.17/5,973.72
  6. Step 6: Final answer
    x = 4,533.42

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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.