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Finding the Fourth Proportional to 3,404.34, 5,103.07 and 1,323.05

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Solution

The fourth proportional to 3,404.34, 5,103.07 and 1,323.05 is: 1,983.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.34 : 5,103.07 = 1,323.05 : x
  2. Step 2: Convert to fraction form
    3,404.34/5,103.07 = 1,323.05/x
  3. Step 3: Cross multiply
    3,404.34x = 5,103.07 × 1,323.05
  4. Step 4: Simplify right side
    3,404.34x = 6,751,587.94
  5. Step 5: Solve for x
    x = 6,751,587.94/3,404.34
  6. Step 6: Final answer
    x = 1,983.23

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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.