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Finding the Fourth Proportional to 3,513.42, 4,847.69 and 2,186.42

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Solution

The fourth proportional to 3,513.42, 4,847.69 and 2,186.42 is: 3,016.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.42 : 4,847.69 = 2,186.42 : x
  2. Step 2: Convert to fraction form
    3,513.42/4,847.69 = 2,186.42/x
  3. Step 3: Cross multiply
    3,513.42x = 4,847.69 × 2,186.42
  4. Step 4: Simplify right side
    3,513.42x = 10,599,051.20
  5. Step 5: Solve for x
    x = 10,599,051.20/3,513.42
  6. Step 6: Final answer
    x = 3,016.73

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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.