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Finding the Fourth Proportional to 3,513.38, 5,270.13 and 1,323.14

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Solution

The fourth proportional to 3,513.38, 5,270.13 and 1,323.14 is: 1,984.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.38 : 5,270.13 = 1,323.14 : x
  2. Step 2: Convert to fraction form
    3,513.38/5,270.13 = 1,323.14/x
  3. Step 3: Cross multiply
    3,513.38x = 5,270.13 × 1,323.14
  4. Step 4: Simplify right side
    3,513.38x = 6,973,093.46
  5. Step 5: Solve for x
    x = 6,973,093.46/3,513.38
  6. Step 6: Final answer
    x = 1,984.73

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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.