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Finding the Fourth Proportional to 6,289.29, 9,434.07 and 2,589.03

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Solution

The fourth proportional to 6,289.29, 9,434.07 and 2,589.03 is: 3,883.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.29 : 9,434.07 = 2,589.03 : x
  2. Step 2: Convert to fraction form
    6,289.29/9,434.07 = 2,589.03/x
  3. Step 3: Cross multiply
    6,289.29x = 9,434.07 × 2,589.03
  4. Step 4: Simplify right side
    6,289.29x = 24,425,090.25
  5. Step 5: Solve for x
    x = 24,425,090.25/6,289.29
  6. Step 6: Final answer
    x = 3,883.60

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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.