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Finding the Fourth Proportional to 5,185.71, 7,109.68 and 5,092.31

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Solution

The fourth proportional to 5,185.71, 7,109.68 and 5,092.31 is: 6,981.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.71 : 7,109.68 = 5,092.31 : x
  2. Step 2: Convert to fraction form
    5,185.71/7,109.68 = 5,092.31/x
  3. Step 3: Cross multiply
    5,185.71x = 7,109.68 × 5,092.31
  4. Step 4: Simplify right side
    5,185.71x = 36,204,646.28
  5. Step 5: Solve for x
    x = 36,204,646.28/5,185.71
  6. Step 6: Final answer
    x = 6,981.62

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.