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Finding the Fourth Proportional to 3,535.54, 5,303.49 and 1,344.44

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Solution

The fourth proportional to 3,535.54, 5,303.49 and 1,344.44 is: 2,016.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.54 : 5,303.49 = 1,344.44 : x
  2. Step 2: Convert to fraction form
    3,535.54/5,303.49 = 1,344.44/x
  3. Step 3: Cross multiply
    3,535.54x = 5,303.49 × 1,344.44
  4. Step 4: Simplify right side
    3,535.54x = 7,130,224.10
  5. Step 5: Solve for x
    x = 7,130,224.10/3,535.54
  6. Step 6: Final answer
    x = 2,016.73

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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.