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Finding the Fourth Proportional to 5,310.71, 7,329.17 and 3,186.33

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Solution

The fourth proportional to 5,310.71, 7,329.17 and 3,186.33 is: 4,397.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.71 : 7,329.17 = 3,186.33 : x
  2. Step 2: Convert to fraction form
    5,310.71/7,329.17 = 3,186.33/x
  3. Step 3: Cross multiply
    5,310.71x = 7,329.17 × 3,186.33
  4. Step 4: Simplify right side
    5,310.71x = 23,353,156.64
  5. Step 5: Solve for x
    x = 23,353,156.64/5,310.71
  6. Step 6: Final answer
    x = 4,397.37

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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.