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Finding the Fourth Proportional to 5,422.09, 8,133.14 and 1,318.09

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Solution

The fourth proportional to 5,422.09, 8,133.14 and 1,318.09 is: 1,977.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422.09 : 8,133.14 = 1,318.09 : x
  2. Step 2: Convert to fraction form
    5,422.09/8,133.14 = 1,318.09/x
  3. Step 3: Cross multiply
    5,422.09x = 8,133.14 × 1,318.09
  4. Step 4: Simplify right side
    5,422.09x = 10,720,210.50
  5. Step 5: Solve for x
    x = 10,720,210.50/5,422.09
  6. Step 6: Final answer
    x = 1,977.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.