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Finding the Fourth Proportional to 3,563.44, 5,343.80 and 1,223.01

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Solution

The fourth proportional to 3,563.44, 5,343.80 and 1,223.01 is: 1,834.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.44 : 5,343.80 = 1,223.01 : x
  2. Step 2: Convert to fraction form
    3,563.44/5,343.80 = 1,223.01/x
  3. Step 3: Cross multiply
    3,563.44x = 5,343.80 × 1,223.01
  4. Step 4: Simplify right side
    3,563.44x = 6,535,525.68
  5. Step 5: Solve for x
    x = 6,535,525.68/3,563.44
  6. Step 6: Final answer
    x = 1,834.05

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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.