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Finding the Fourth Proportional to 5,422.16, 8,133.26 and 1,318.16

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Solution

The fourth proportional to 5,422.16, 8,133.26 and 1,318.16 is: 1,977.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422.16 : 8,133.26 = 1,318.16 : x
  2. Step 2: Convert to fraction form
    5,422.16/8,133.26 = 1,318.16/x
  3. Step 3: Cross multiply
    5,422.16x = 8,133.26 × 1,318.16
  4. Step 4: Simplify right side
    5,422.16x = 10,720,938.00
  5. Step 5: Solve for x
    x = 10,720,938.00/5,422.16
  6. Step 6: Final answer
    x = 1,977.24

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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.