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Finding the Fourth Proportional to 3,497.31, 5,218.70 and 3,186.81

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Solution

The fourth proportional to 3,497.31, 5,218.70 and 3,186.81 is: 4,755.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.31 : 5,218.70 = 3,186.81 : x
  2. Step 2: Convert to fraction form
    3,497.31/5,218.70 = 3,186.81/x
  3. Step 3: Cross multiply
    3,497.31x = 5,218.70 × 3,186.81
  4. Step 4: Simplify right side
    3,497.31x = 16,630,989.41
  5. Step 5: Solve for x
    x = 16,630,989.41/3,497.31
  6. Step 6: Final answer
    x = 4,755.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.