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Finding the Fourth Proportional to 3,563.96, 5,342.36 and 2,004.72

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Solution

The fourth proportional to 3,563.96, 5,342.36 and 2,004.72 is: 3,005.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.96 : 5,342.36 = 2,004.72 : x
  2. Step 2: Convert to fraction form
    3,563.96/5,342.36 = 2,004.72/x
  3. Step 3: Cross multiply
    3,563.96x = 5,342.36 × 2,004.72
  4. Step 4: Simplify right side
    3,563.96x = 10,709,935.94
  5. Step 5: Solve for x
    x = 10,709,935.94/3,563.96
  6. Step 6: Final answer
    x = 3,005.07

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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.