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Finding the Fourth Proportional to 5,309.94, 7,958.01 and 2,186.40

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Solution

The fourth proportional to 5,309.94, 7,958.01 and 2,186.40 is: 3,276.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.94 : 7,958.01 = 2,186.40 : x
  2. Step 2: Convert to fraction form
    5,309.94/7,958.01 = 2,186.40/x
  3. Step 3: Cross multiply
    5,309.94x = 7,958.01 × 2,186.40
  4. Step 4: Simplify right side
    5,309.94x = 17,399,393.06
  5. Step 5: Solve for x
    x = 17,399,393.06/5,309.94
  6. Step 6: Final answer
    x = 3,276.76

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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.