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Finding the Fourth Proportional to 4,164.66, 6,235.65 and 3,186.18

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Solution

The fourth proportional to 4,164.66, 6,235.65 and 3,186.18 is: 4,770.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.66 : 6,235.65 = 3,186.18 : x
  2. Step 2: Convert to fraction form
    4,164.66/6,235.65 = 3,186.18/x
  3. Step 3: Cross multiply
    4,164.66x = 6,235.65 × 3,186.18
  4. Step 4: Simplify right side
    4,164.66x = 19,867,903.32
  5. Step 5: Solve for x
    x = 19,867,903.32/4,164.66
  6. Step 6: Final answer
    x = 4,770.59

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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.