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Finding the Fourth Proportional to 5,422.13, 8,133.20 and 1,318.13

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Solution

The fourth proportional to 5,422.13, 8,133.20 and 1,318.13 is: 1,977.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422.13 : 8,133.20 = 1,318.13 : x
  2. Step 2: Convert to fraction form
    5,422.13/8,133.20 = 1,318.13/x
  3. Step 3: Cross multiply
    5,422.13x = 8,133.20 × 1,318.13
  4. Step 4: Simplify right side
    5,422.13x = 10,720,567.66
  5. Step 5: Solve for x
    x = 10,720,567.66/5,422.13
  6. Step 6: Final answer
    x = 1,977.19

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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.