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Finding the Fourth Proportional to 5,191.31, 7,164.02 and 3,328.31

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Solution

The fourth proportional to 5,191.31, 7,164.02 and 3,328.31 is: 4,593.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.31 : 7,164.02 = 3,328.31 : x
  2. Step 2: Convert to fraction form
    5,191.31/7,164.02 = 3,328.31/x
  3. Step 3: Cross multiply
    5,191.31x = 7,164.02 × 3,328.31
  4. Step 4: Simplify right side
    5,191.31x = 23,844,105.64
  5. Step 5: Solve for x
    x = 23,844,105.64/5,191.31
  6. Step 6: Final answer
    x = 4,593.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.