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Finding the Fourth Proportional to 3,986.62, 5,502.33 and 2,308.30

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Solution

The fourth proportional to 3,986.62, 5,502.33 and 2,308.30 is: 3,185.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.62 : 5,502.33 = 2,308.30 : x
  2. Step 2: Convert to fraction form
    3,986.62/5,502.33 = 2,308.30/x
  3. Step 3: Cross multiply
    3,986.62x = 5,502.33 × 2,308.30
  4. Step 4: Simplify right side
    3,986.62x = 12,701,014.58
  5. Step 5: Solve for x
    x = 12,701,014.58/3,986.62
  6. Step 6: Final answer
    x = 3,185.91

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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.