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Finding the Fourth Proportional to 5,309.11, 7,326.86 and 3,185

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Solution

The fourth proportional to 5,309.11, 7,326.86 and 3,185 is: 4,395.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.11 : 7,326.86 = 3,185 : x
  2. Step 2: Convert to fraction form
    5,309.11/7,326.86 = 3,185/x
  3. Step 3: Cross multiply
    5,309.11x = 7,326.86 × 3,185
  4. Step 4: Simplify right side
    5,309.11x = 23,336,049.10
  5. Step 5: Solve for x
    x = 23,336,049.10/5,309.11
  6. Step 6: Final answer
    x = 4,395.47

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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.