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Finding the Fourth Proportional to 3,563.70, 5,345.37 and 1,223.92

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Solution

The fourth proportional to 3,563.70, 5,345.37 and 1,223.92 is: 1,835.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.70 : 5,345.37 = 1,223.92 : x
  2. Step 2: Convert to fraction form
    3,563.70/5,345.37 = 1,223.92/x
  3. Step 3: Cross multiply
    3,563.70x = 5,345.37 × 1,223.92
  4. Step 4: Simplify right side
    3,563.70x = 6,542,305.25
  5. Step 5: Solve for x
    x = 6,542,305.25/3,563.70
  6. Step 6: Final answer
    x = 1,835.82

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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.